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Finding the Fourth Proportional to 591.28, 814.74 and 404.80

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Solution

The fourth proportional to 591.28, 814.74 and 404.80 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.28 : 814.74 = 404.80 : x
  2. Step 2: Convert to fraction form
    591.28/814.74 = 404.80/x
  3. Step 3: Cross multiply
    591.28x = 814.74 × 404.80
  4. Step 4: Simplify right side
    591.28x = 329,806.75
  5. Step 5: Solve for x
    x = 329,806.75/591.28
  6. Step 6: Final answer
    x = 557.78

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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.