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Finding the Fourth Proportional to 748.35, 1,115.73 and 729.12

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Solution

The fourth proportional to 748.35, 1,115.73 and 729.12 is: 1,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.35 : 1,115.73 = 729.12 : x
  2. Step 2: Convert to fraction form
    748.35/1,115.73 = 729.12/x
  3. Step 3: Cross multiply
    748.35x = 1,115.73 × 729.12
  4. Step 4: Simplify right side
    748.35x = 813,501.06
  5. Step 5: Solve for x
    x = 813,501.06/748.35
  6. Step 6: Final answer
    x = 1,087.06

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1.5x scale

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.