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Finding the Fourth Proportional to 748.20, 1,120.74 and 473.76

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Solution

The fourth proportional to 748.20, 1,120.74 and 473.76 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.20 : 1,120.74 = 473.76 : x
  2. Step 2: Convert to fraction form
    748.20/1,120.74 = 473.76/x
  3. Step 3: Cross multiply
    748.20x = 1,120.74 × 473.76
  4. Step 4: Simplify right side
    748.20x = 530,961.78
  5. Step 5: Solve for x
    x = 530,961.78/748.20
  6. Step 6: Final answer
    x = 709.65

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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.