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Finding the Fourth Proportional to 701.18, 966.81 and 658.82

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Solution

The fourth proportional to 701.18, 966.81 and 658.82 is: 908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.18 : 966.81 = 658.82 : x
  2. Step 2: Convert to fraction form
    701.18/966.81 = 658.82/x
  3. Step 3: Cross multiply
    701.18x = 966.81 × 658.82
  4. Step 4: Simplify right side
    701.18x = 636,953.76
  5. Step 5: Solve for x
    x = 636,953.76/701.18
  6. Step 6: Final answer
    x = 908.40

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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.