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Finding the Fourth Proportional to 763.21, 1,142.08 and 660.85

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Solution

The fourth proportional to 763.21, 1,142.08 and 660.85 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.21 : 1,142.08 = 660.85 : x
  2. Step 2: Convert to fraction form
    763.21/1,142.08 = 660.85/x
  3. Step 3: Cross multiply
    763.21x = 1,142.08 × 660.85
  4. Step 4: Simplify right side
    763.21x = 754,743.57
  5. Step 5: Solve for x
    x = 754,743.57/763.21
  6. Step 6: Final answer
    x = 988.91

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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.