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Finding the Fourth Proportional to 590.38, 814.56 and 491.98

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Solution

The fourth proportional to 590.38, 814.56 and 491.98 is: 678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.38 : 814.56 = 491.98 : x
  2. Step 2: Convert to fraction form
    590.38/814.56 = 491.98/x
  3. Step 3: Cross multiply
    590.38x = 814.56 × 491.98
  4. Step 4: Simplify right side
    590.38x = 400,747.23
  5. Step 5: Solve for x
    x = 400,747.23/590.38
  6. Step 6: Final answer
    x = 678.80

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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.