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Finding the Fourth Proportional to 842.40, 1,261.80 and 658.92

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Solution

The fourth proportional to 842.40, 1,261.80 and 658.92 is: 986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,261.80 = 658.92 : x
  2. Step 2: Convert to fraction form
    842.40/1,261.80 = 658.92/x
  3. Step 3: Cross multiply
    842.40x = 1,261.80 × 658.92
  4. Step 4: Simplify right side
    842.40x = 831,425.26
  5. Step 5: Solve for x
    x = 831,425.26/842.40
  6. Step 6: Final answer
    x = 986.97

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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.