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Finding the Fourth Proportional to 508.98, 763.56 and 418.08

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Solution

The fourth proportional to 508.98, 763.56 and 418.08 is: 627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 763.56 = 418.08 : x
  2. Step 2: Convert to fraction form
    508.98/763.56 = 418.08/x
  3. Step 3: Cross multiply
    508.98x = 763.56 × 418.08
  4. Step 4: Simplify right side
    508.98x = 319,229.16
  5. Step 5: Solve for x
    x = 319,229.16/508.98
  6. Step 6: Final answer
    x = 627.19

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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.