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Finding the Fourth Proportional to 590.91, 815.04 and 404.13

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Solution

The fourth proportional to 590.91, 815.04 and 404.13 is: 557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.91 : 815.04 = 404.13 : x
  2. Step 2: Convert to fraction form
    590.91/815.04 = 404.13/x
  3. Step 3: Cross multiply
    590.91x = 815.04 × 404.13
  4. Step 4: Simplify right side
    590.91x = 329,382.12
  5. Step 5: Solve for x
    x = 329,382.12/590.91
  6. Step 6: Final answer
    x = 557.42

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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.