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Finding the Fourth Proportional to 508.74, 759.18 and 454.20

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Solution

The fourth proportional to 508.74, 759.18 and 454.20 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.74 : 759.18 = 454.20 : x
  2. Step 2: Convert to fraction form
    508.74/759.18 = 454.20/x
  3. Step 3: Cross multiply
    508.74x = 759.18 × 454.20
  4. Step 4: Simplify right side
    508.74x = 344,819.56
  5. Step 5: Solve for x
    x = 344,819.56/508.74
  6. Step 6: Final answer
    x = 677.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.