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Finding the Fourth Proportional to 686.30, 946.40 and 462.13

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Solution

The fourth proportional to 686.30, 946.40 and 462.13 is: 637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 946.40 = 462.13 : x
  2. Step 2: Convert to fraction form
    686.30/946.40 = 462.13/x
  3. Step 3: Cross multiply
    686.30x = 946.40 × 462.13
  4. Step 4: Simplify right side
    686.30x = 437,355.16
  5. Step 5: Solve for x
    x = 437,355.16/686.30
  6. Step 6: Final answer
    x = 637.27

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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.