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Finding the Fourth Proportional to 1,590.92, 2,387 and 724.63

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Solution

The fourth proportional to 1,590.92, 2,387 and 724.63 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.92 : 2,387 = 724.63 : x
  2. Step 2: Convert to fraction form
    1,590.92/2,387 = 724.63/x
  3. Step 3: Cross multiply
    1,590.92x = 2,387 × 724.63
  4. Step 4: Simplify right side
    1,590.92x = 1,729,691.81
  5. Step 5: Solve for x
    x = 1,729,691.81/1,590.92
  6. Step 6: Final answer
    x = 1,087.23

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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.