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Finding the Fourth Proportional to 765.03, 1,144.80 and 662.66

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Solution

The fourth proportional to 765.03, 1,144.80 and 662.66 is: 991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,144.80 = 662.66 : x
  2. Step 2: Convert to fraction form
    765.03/1,144.80 = 662.66/x
  3. Step 3: Cross multiply
    765.03x = 1,144.80 × 662.66
  4. Step 4: Simplify right side
    765.03x = 758,613.17
  5. Step 5: Solve for x
    x = 758,613.17/765.03
  6. Step 6: Final answer
    x = 991.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.