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Finding the Fourth Proportional to 757.11, 1,044.03 and 652.53

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Solution

The fourth proportional to 757.11, 1,044.03 and 652.53 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,044.03 = 652.53 : x
  2. Step 2: Convert to fraction form
    757.11/1,044.03 = 652.53/x
  3. Step 3: Cross multiply
    757.11x = 1,044.03 × 652.53
  4. Step 4: Simplify right side
    757.11x = 681,260.90
  5. Step 5: Solve for x
    x = 681,260.90/757.11
  6. Step 6: Final answer
    x = 899.82

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Why These Related Problems?

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