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Finding the Fourth Proportional to 663.48, 993.17 and 565.07

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Solution

The fourth proportional to 663.48, 993.17 and 565.07 is: 845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.48 : 993.17 = 565.07 : x
  2. Step 2: Convert to fraction form
    663.48/993.17 = 565.07/x
  3. Step 3: Cross multiply
    663.48x = 993.17 × 565.07
  4. Step 4: Simplify right side
    663.48x = 561,202.78
  5. Step 5: Solve for x
    x = 561,202.78/663.48
  6. Step 6: Final answer
    x = 845.85

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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.