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Finding the Fourth Proportional to 509.73, 763.79 and 387.62

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Solution

The fourth proportional to 509.73, 763.79 and 387.62 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 763.79 = 387.62 : x
  2. Step 2: Convert to fraction form
    509.73/763.79 = 387.62/x
  3. Step 3: Cross multiply
    509.73x = 763.79 × 387.62
  4. Step 4: Simplify right side
    509.73x = 296,060.28
  5. Step 5: Solve for x
    x = 296,060.28/509.73
  6. Step 6: Final answer
    x = 580.82

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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.