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Finding the Fourth Proportional to 748.53, 1,025.49 and 720.47

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Solution

The fourth proportional to 748.53, 1,025.49 and 720.47 is: 987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.53 : 1,025.49 = 720.47 : x
  2. Step 2: Convert to fraction form
    748.53/1,025.49 = 720.47/x
  3. Step 3: Cross multiply
    748.53x = 1,025.49 × 720.47
  4. Step 4: Simplify right side
    748.53x = 738,833.52
  5. Step 5: Solve for x
    x = 738,833.52/748.53
  6. Step 6: Final answer
    x = 987.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.