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Finding the Fourth Proportional to 459.92, 686.52 and 426.12

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Solution

The fourth proportional to 459.92, 686.52 and 426.12 is: 636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 686.52 = 426.12 : x
  2. Step 2: Convert to fraction form
    459.92/686.52 = 426.12/x
  3. Step 3: Cross multiply
    459.92x = 686.52 × 426.12
  4. Step 4: Simplify right side
    459.92x = 292,539.90
  5. Step 5: Solve for x
    x = 292,539.90/459.92
  6. Step 6: Final answer
    x = 636.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.