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Finding the Fourth Proportional to 509.96, 763.27 and 387.55

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Solution

The fourth proportional to 509.96, 763.27 and 387.55 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 763.27 = 387.55 : x
  2. Step 2: Convert to fraction form
    509.96/763.27 = 387.55/x
  3. Step 3: Cross multiply
    509.96x = 763.27 × 387.55
  4. Step 4: Simplify right side
    509.96x = 295,805.29
  5. Step 5: Solve for x
    x = 295,805.29/509.96
  6. Step 6: Final answer
    x = 580.06

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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.