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Finding the Fourth Proportional to 1,432.67, 1,976.87 and 873.16

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Solution

The fourth proportional to 1,432.67, 1,976.87 and 873.16 is: 1,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.67 : 1,976.87 = 873.16 : x
  2. Step 2: Convert to fraction form
    1,432.67/1,976.87 = 873.16/x
  3. Step 3: Cross multiply
    1,432.67x = 1,976.87 × 873.16
  4. Step 4: Simplify right side
    1,432.67x = 1,726,121.05
  5. Step 5: Solve for x
    x = 1,726,121.05/1,432.67
  6. Step 6: Final answer
    x = 1,204.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.