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Finding the Fourth Proportional to 500.88, 691.56 and 398.16

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Solution

The fourth proportional to 500.88, 691.56 and 398.16 is: 549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 691.56 = 398.16 : x
  2. Step 2: Convert to fraction form
    500.88/691.56 = 398.16/x
  3. Step 3: Cross multiply
    500.88x = 691.56 × 398.16
  4. Step 4: Simplify right side
    500.88x = 275,351.53
  5. Step 5: Solve for x
    x = 275,351.53/500.88
  6. Step 6: Final answer
    x = 549.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.