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Finding the Fourth Proportional to 757.55, 1,137.85 and 732.65

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Solution

The fourth proportional to 757.55, 1,137.85 and 732.65 is: 1,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.55 : 1,137.85 = 732.65 : x
  2. Step 2: Convert to fraction form
    757.55/1,137.85 = 732.65/x
  3. Step 3: Cross multiply
    757.55x = 1,137.85 × 732.65
  4. Step 4: Simplify right side
    757.55x = 833,638.28
  5. Step 5: Solve for x
    x = 833,638.28/757.55
  6. Step 6: Final answer
    x = 1,100.44

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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.