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Finding the Fourth Proportional to 663.24, 993.10 and 489.48

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Solution

The fourth proportional to 663.24, 993.10 and 489.48 is: 732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.24 : 993.10 = 489.48 : x
  2. Step 2: Convert to fraction form
    663.24/993.10 = 489.48/x
  3. Step 3: Cross multiply
    663.24x = 993.10 × 489.48
  4. Step 4: Simplify right side
    663.24x = 486,102.59
  5. Step 5: Solve for x
    x = 486,102.59/663.24
  6. Step 6: Final answer
    x = 732.92

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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.