Home / 1,382.60-2,074.28-724.52

Finding the Fourth Proportional to 1,382.60, 2,074.28 and 724.52

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Solution

The fourth proportional to 1,382.60, 2,074.28 and 724.52 is: 1,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.60 : 2,074.28 = 724.52 : x
  2. Step 2: Convert to fraction form
    1,382.60/2,074.28 = 724.52/x
  3. Step 3: Cross multiply
    1,382.60x = 2,074.28 × 724.52
  4. Step 4: Simplify right side
    1,382.60x = 1,502,857.35
  5. Step 5: Solve for x
    x = 1,502,857.35/1,382.60
  6. Step 6: Final answer
    x = 1,086.98

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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.