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Finding the Fourth Proportional to 866.49, 1,291.24 and 842.73

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Solution

The fourth proportional to 866.49, 1,291.24 and 842.73 is: 1,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,291.24 = 842.73 : x
  2. Step 2: Convert to fraction form
    866.49/1,291.24 = 842.73/x
  3. Step 3: Cross multiply
    866.49x = 1,291.24 × 842.73
  4. Step 4: Simplify right side
    866.49x = 1,088,166.69
  5. Step 5: Solve for x
    x = 1,088,166.69/866.49
  6. Step 6: Final answer
    x = 1,255.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.