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Finding the Fourth Proportional to 508.27, 763.04 and 505.93

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Solution

The fourth proportional to 508.27, 763.04 and 505.93 is: 759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.27 : 763.04 = 505.93 : x
  2. Step 2: Convert to fraction form
    508.27/763.04 = 505.93/x
  3. Step 3: Cross multiply
    508.27x = 763.04 × 505.93
  4. Step 4: Simplify right side
    508.27x = 386,044.83
  5. Step 5: Solve for x
    x = 386,044.83/508.27
  6. Step 6: Final answer
    x = 759.53

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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.