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Finding the Fourth Proportional to 769.38, 1,151.32 and 667.01

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Solution

The fourth proportional to 769.38, 1,151.32 and 667.01 is: 998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.38 : 1,151.32 = 667.01 : x
  2. Step 2: Convert to fraction form
    769.38/1,151.32 = 667.01/x
  3. Step 3: Cross multiply
    769.38x = 1,151.32 × 667.01
  4. Step 4: Simplify right side
    769.38x = 767,941.95
  5. Step 5: Solve for x
    x = 767,941.95/769.38
  6. Step 6: Final answer
    x = 998.13

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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.