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Finding the Fourth Proportional to 1,500.52, 2,248.80 and 679.18

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Solution

The fourth proportional to 1,500.52, 2,248.80 and 679.18 is: 1,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.52 : 2,248.80 = 679.18 : x
  2. Step 2: Convert to fraction form
    1,500.52/2,248.80 = 679.18/x
  3. Step 3: Cross multiply
    1,500.52x = 2,248.80 × 679.18
  4. Step 4: Simplify right side
    1,500.52x = 1,527,339.98
  5. Step 5: Solve for x
    x = 1,527,339.98/1,500.52
  6. Step 6: Final answer
    x = 1,017.87

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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.