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Finding the Fourth Proportional to 590.71, 814.89 and 404.05

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Solution

The fourth proportional to 590.71, 814.89 and 404.05 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.71 : 814.89 = 404.05 : x
  2. Step 2: Convert to fraction form
    590.71/814.89 = 404.05/x
  3. Step 3: Cross multiply
    590.71x = 814.89 × 404.05
  4. Step 4: Simplify right side
    590.71x = 329,256.30
  5. Step 5: Solve for x
    x = 329,256.30/590.71
  6. Step 6: Final answer
    x = 557.39

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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.