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Finding the Fourth Proportional to 591.48, 814.41 and 502.79

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Solution

The fourth proportional to 591.48, 814.41 and 502.79 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.48 : 814.41 = 502.79 : x
  2. Step 2: Convert to fraction form
    591.48/814.41 = 502.79/x
  3. Step 3: Cross multiply
    591.48x = 814.41 × 502.79
  4. Step 4: Simplify right side
    591.48x = 409,473.13
  5. Step 5: Solve for x
    x = 409,473.13/591.48
  6. Step 6: Final answer
    x = 692.29

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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.