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Finding the Fourth Proportional to 3,057.32, 4,585.97 and 748.82

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Solution

The fourth proportional to 3,057.32, 4,585.97 and 748.82 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.32 : 4,585.97 = 748.82 : x
  2. Step 2: Convert to fraction form
    3,057.32/4,585.97 = 748.82/x
  3. Step 3: Cross multiply
    3,057.32x = 4,585.97 × 748.82
  4. Step 4: Simplify right side
    3,057.32x = 3,434,066.06
  5. Step 5: Solve for x
    x = 3,434,066.06/3,057.32
  6. Step 6: Final answer
    x = 1,123.23

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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.