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Finding the Fourth Proportional to 762.72, 1,149.71 and 718.12

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Solution

The fourth proportional to 762.72, 1,149.71 and 718.12 is: 1,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,149.71 = 718.12 : x
  2. Step 2: Convert to fraction form
    762.72/1,149.71 = 718.12/x
  3. Step 3: Cross multiply
    762.72x = 1,149.71 × 718.12
  4. Step 4: Simplify right side
    762.72x = 825,633.95
  5. Step 5: Solve for x
    x = 825,633.95/762.72
  6. Step 6: Final answer
    x = 1,082.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.