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Finding the Fourth Proportional to 1,151.00, 1,589.04 and 731.69

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Solution

The fourth proportional to 1,151.00, 1,589.04 and 731.69 is: 1,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.00 : 1,589.04 = 731.69 : x
  2. Step 2: Convert to fraction form
    1,151.00/1,589.04 = 731.69/x
  3. Step 3: Cross multiply
    1,151.00x = 1,589.04 × 731.69
  4. Step 4: Simplify right side
    1,151.00x = 1,162,673.07
  5. Step 5: Solve for x
    x = 1,162,673.07/1,151.00
  6. Step 6: Final answer
    x = 1,010.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.