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Finding the Fourth Proportional to 1,478.57, 2,219.20 and 748.64

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Solution

The fourth proportional to 1,478.57, 2,219.20 and 748.64 is: 1,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.57 : 2,219.20 = 748.64 : x
  2. Step 2: Convert to fraction form
    1,478.57/2,219.20 = 748.64/x
  3. Step 3: Cross multiply
    1,478.57x = 2,219.20 × 748.64
  4. Step 4: Simplify right side
    1,478.57x = 1,661,385.56
  5. Step 5: Solve for x
    x = 1,661,385.56/1,478.57
  6. Step 6: Final answer
    x = 1,123.65

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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.