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Finding the Fourth Proportional to 663.62, 992.52 and 590.96

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Solution

The fourth proportional to 663.62, 992.52 and 590.96 is: 883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 992.52 = 590.96 : x
  2. Step 2: Convert to fraction form
    663.62/992.52 = 590.96/x
  3. Step 3: Cross multiply
    663.62x = 992.52 × 590.96
  4. Step 4: Simplify right side
    663.62x = 586,539.62
  5. Step 5: Solve for x
    x = 586,539.62/663.62
  6. Step 6: Final answer
    x = 883.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.