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Finding the Fourth Proportional to 842.37, 1,262.92 and 695.66

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Solution

The fourth proportional to 842.37, 1,262.92 and 695.66 is: 1,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.37 : 1,262.92 = 695.66 : x
  2. Step 2: Convert to fraction form
    842.37/1,262.92 = 695.66/x
  3. Step 3: Cross multiply
    842.37x = 1,262.92 × 695.66
  4. Step 4: Simplify right side
    842.37x = 878,564.88
  5. Step 5: Solve for x
    x = 878,564.88/842.37
  6. Step 6: Final answer
    x = 1,042.96

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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.