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Finding the Fourth Proportional to 1,432.68, 1,976.58 and 842.78

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Solution

The fourth proportional to 1,432.68, 1,976.58 and 842.78 is: 1,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.68 : 1,976.58 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,432.68/1,976.58 = 842.78/x
  3. Step 3: Cross multiply
    1,432.68x = 1,976.58 × 842.78
  4. Step 4: Simplify right side
    1,432.68x = 1,665,822.09
  5. Step 5: Solve for x
    x = 1,665,822.09/1,432.68
  6. Step 6: Final answer
    x = 1,162.73

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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.