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Finding the Fourth Proportional to 598.59, 827.28 and 500.13

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Solution

The fourth proportional to 598.59, 827.28 and 500.13 is: 691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.59 : 827.28 = 500.13 : x
  2. Step 2: Convert to fraction form
    598.59/827.28 = 500.13/x
  3. Step 3: Cross multiply
    598.59x = 827.28 × 500.13
  4. Step 4: Simplify right side
    598.59x = 413,747.55
  5. Step 5: Solve for x
    x = 413,747.55/598.59
  6. Step 6: Final answer
    x = 691.20

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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.