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Finding the Fourth Proportional to 1,149.96, 1,724.93 and 803.97

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Solution

The fourth proportional to 1,149.96, 1,724.93 and 803.97 is: 1,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,724.93 = 803.97 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,724.93 = 803.97/x
  3. Step 3: Cross multiply
    1,149.96x = 1,724.93 × 803.97
  4. Step 4: Simplify right side
    1,149.96x = 1,386,793.98
  5. Step 5: Solve for x
    x = 1,386,793.98/1,149.96
  6. Step 6: Final answer
    x = 1,205.95

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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.