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Finding the Fourth Proportional to 590.52, 814.68 and 357.78

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Solution

The fourth proportional to 590.52, 814.68 and 357.78 is: 493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 814.68 = 357.78 : x
  2. Step 2: Convert to fraction form
    590.52/814.68 = 357.78/x
  3. Step 3: Cross multiply
    590.52x = 814.68 × 357.78
  4. Step 4: Simplify right side
    590.52x = 291,476.21
  5. Step 5: Solve for x
    x = 291,476.21/590.52
  6. Step 6: Final answer
    x = 493.59

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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.