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Finding the Fourth Proportional to 865.26, 1,295.45 and 658.98

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Solution

The fourth proportional to 865.26, 1,295.45 and 658.98 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,295.45 = 658.98 : x
  2. Step 2: Convert to fraction form
    865.26/1,295.45 = 658.98/x
  3. Step 3: Cross multiply
    865.26x = 1,295.45 × 658.98
  4. Step 4: Simplify right side
    865.26x = 853,665.87
  5. Step 5: Solve for x
    x = 853,665.87/865.26
  6. Step 6: Final answer
    x = 986.61

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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.