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Finding the Fourth Proportional to 1,488.91, 2,234.10 and 748.60

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Solution

The fourth proportional to 1,488.91, 2,234.10 and 748.60 is: 1,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.91 : 2,234.10 = 748.60 : x
  2. Step 2: Convert to fraction form
    1,488.91/2,234.10 = 748.60/x
  3. Step 3: Cross multiply
    1,488.91x = 2,234.10 × 748.60
  4. Step 4: Simplify right side
    1,488.91x = 1,672,447.26
  5. Step 5: Solve for x
    x = 1,672,447.26/1,488.91
  6. Step 6: Final answer
    x = 1,123.27

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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.