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Finding the Fourth Proportional to 3,057.27, 4,585.92 and 748.77

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Solution

The fourth proportional to 3,057.27, 4,585.92 and 748.77 is: 1,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.27 : 4,585.92 = 748.77 : x
  2. Step 2: Convert to fraction form
    3,057.27/4,585.92 = 748.77/x
  3. Step 3: Cross multiply
    3,057.27x = 4,585.92 × 748.77
  4. Step 4: Simplify right side
    3,057.27x = 3,433,799.32
  5. Step 5: Solve for x
    x = 3,433,799.32/3,057.27
  6. Step 6: Final answer
    x = 1,123.16

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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.