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Finding the Fourth Proportional to 591.38, 814.24 and 502.66

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Solution

The fourth proportional to 591.38, 814.24 and 502.66 is: 692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 814.24 = 502.66 : x
  2. Step 2: Convert to fraction form
    591.38/814.24 = 502.66/x
  3. Step 3: Cross multiply
    591.38x = 814.24 × 502.66
  4. Step 4: Simplify right side
    591.38x = 409,285.88
  5. Step 5: Solve for x
    x = 409,285.88/591.38
  6. Step 6: Final answer
    x = 692.09

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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.