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Finding the Fourth Proportional to 748.08, 1,113.48 and 737.76

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Solution

The fourth proportional to 748.08, 1,113.48 and 737.76 is: 1,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.08 : 1,113.48 = 737.76 : x
  2. Step 2: Convert to fraction form
    748.08/1,113.48 = 737.76/x
  3. Step 3: Cross multiply
    748.08x = 1,113.48 × 737.76
  4. Step 4: Simplify right side
    748.08x = 821,481.00
  5. Step 5: Solve for x
    x = 821,481.00/748.08
  6. Step 6: Final answer
    x = 1,098.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.