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Finding the Fourth Proportional to 694.75, 959.16 and 462.28

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Solution

The fourth proportional to 694.75, 959.16 and 462.28 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.75 : 959.16 = 462.28 : x
  2. Step 2: Convert to fraction form
    694.75/959.16 = 462.28/x
  3. Step 3: Cross multiply
    694.75x = 959.16 × 462.28
  4. Step 4: Simplify right side
    694.75x = 443,400.48
  5. Step 5: Solve for x
    x = 443,400.48/694.75
  6. Step 6: Final answer
    x = 638.22

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Half scale
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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.