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Finding the Fourth Proportional to 686.92, 948.14 and 407.24

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Solution

The fourth proportional to 686.92, 948.14 and 407.24 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.92 : 948.14 = 407.24 : x
  2. Step 2: Convert to fraction form
    686.92/948.14 = 407.24/x
  3. Step 3: Cross multiply
    686.92x = 948.14 × 407.24
  4. Step 4: Simplify right side
    686.92x = 386,120.53
  5. Step 5: Solve for x
    x = 386,120.53/686.92
  6. Step 6: Final answer
    x = 562.10

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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.