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Finding the Fourth Proportional to 591.31, 815.61 and 404.47

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Solution

The fourth proportional to 591.31, 815.61 and 404.47 is: 557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.31 : 815.61 = 404.47 : x
  2. Step 2: Convert to fraction form
    591.31/815.61 = 404.47/x
  3. Step 3: Cross multiply
    591.31x = 815.61 × 404.47
  4. Step 4: Simplify right side
    591.31x = 329,889.25
  5. Step 5: Solve for x
    x = 329,889.25/591.31
  6. Step 6: Final answer
    x = 557.90

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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.