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Finding the Fourth Proportional to 1,432.16, 1,976.34 and 842.66

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Solution

The fourth proportional to 1,432.16, 1,976.34 and 842.66 is: 1,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.16 : 1,976.34 = 842.66 : x
  2. Step 2: Convert to fraction form
    1,432.16/1,976.34 = 842.66/x
  3. Step 3: Cross multiply
    1,432.16x = 1,976.34 × 842.66
  4. Step 4: Simplify right side
    1,432.16x = 1,665,382.66
  5. Step 5: Solve for x
    x = 1,665,382.66/1,432.16
  6. Step 6: Final answer
    x = 1,162.85

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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.