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Finding the Fourth Proportional to 509.92, 763.25 and 406.04

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Solution

The fourth proportional to 509.92, 763.25 and 406.04 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 763.25 = 406.04 : x
  2. Step 2: Convert to fraction form
    509.92/763.25 = 406.04/x
  3. Step 3: Cross multiply
    509.92x = 763.25 × 406.04
  4. Step 4: Simplify right side
    509.92x = 309,906.47
  5. Step 5: Solve for x
    x = 309,906.47/509.92
  6. Step 6: Final answer
    x = 607.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.