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Finding the Fourth Proportional to 769.90, 1,063.21 and 658.73

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Solution

The fourth proportional to 769.90, 1,063.21 and 658.73 is: 909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.90 : 1,063.21 = 658.73 : x
  2. Step 2: Convert to fraction form
    769.90/1,063.21 = 658.73/x
  3. Step 3: Cross multiply
    769.90x = 1,063.21 × 658.73
  4. Step 4: Simplify right side
    769.90x = 700,363.01
  5. Step 5: Solve for x
    x = 700,363.01/769.90
  6. Step 6: Final answer
    x = 909.68

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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.