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Finding the Fourth Proportional to 704.30, 972.42 and 456.26

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Solution

The fourth proportional to 704.30, 972.42 and 456.26 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 972.42 = 456.26 : x
  2. Step 2: Convert to fraction form
    704.30/972.42 = 456.26/x
  3. Step 3: Cross multiply
    704.30x = 972.42 × 456.26
  4. Step 4: Simplify right side
    704.30x = 443,676.35
  5. Step 5: Solve for x
    x = 443,676.35/704.30
  6. Step 6: Final answer
    x = 629.95

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Double scale
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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.