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Finding the Fourth Proportional to 704.75, 972.33 and 456.26

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Solution

The fourth proportional to 704.75, 972.33 and 456.26 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 972.33 = 456.26 : x
  2. Step 2: Convert to fraction form
    704.75/972.33 = 456.26/x
  3. Step 3: Cross multiply
    704.75x = 972.33 × 456.26
  4. Step 4: Simplify right side
    704.75x = 443,635.29
  5. Step 5: Solve for x
    x = 443,635.29/704.75
  6. Step 6: Final answer
    x = 629.49

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Find fourth proportional to 352.38, 486.17 and 228.13
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.