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Finding the Fourth Proportional to 1,417.98, 2,127.19 and 724.27

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Solution

The fourth proportional to 1,417.98, 2,127.19 and 724.27 is: 1,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.98 : 2,127.19 = 724.27 : x
  2. Step 2: Convert to fraction form
    1,417.98/2,127.19 = 724.27/x
  3. Step 3: Cross multiply
    1,417.98x = 2,127.19 × 724.27
  4. Step 4: Simplify right side
    1,417.98x = 1,540,659.90
  5. Step 5: Solve for x
    x = 1,540,659.90/1,417.98
  6. Step 6: Final answer
    x = 1,086.52

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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.