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Finding the Fourth Proportional to 591.24, 815.67 and 404.43

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Solution

The fourth proportional to 591.24, 815.67 and 404.43 is: 557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 815.67 = 404.43 : x
  2. Step 2: Convert to fraction form
    591.24/815.67 = 404.43/x
  3. Step 3: Cross multiply
    591.24x = 815.67 × 404.43
  4. Step 4: Simplify right side
    591.24x = 329,881.42
  5. Step 5: Solve for x
    x = 329,881.42/591.24
  6. Step 6: Final answer
    x = 557.95

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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.