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Finding the Fourth Proportional to 798.20, 1,195.35 and 658.78

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Solution

The fourth proportional to 798.20, 1,195.35 and 658.78 is: 986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.20 : 1,195.35 = 658.78 : x
  2. Step 2: Convert to fraction form
    798.20/1,195.35 = 658.78/x
  3. Step 3: Cross multiply
    798.20x = 1,195.35 × 658.78
  4. Step 4: Simplify right side
    798.20x = 787,472.67
  5. Step 5: Solve for x
    x = 787,472.67/798.20
  6. Step 6: Final answer
    x = 986.56

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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.