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Finding the Fourth Proportional to 672.85, 1,010.19 and 658.57

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Solution

The fourth proportional to 672.85, 1,010.19 and 658.57 is: 988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.85 : 1,010.19 = 658.57 : x
  2. Step 2: Convert to fraction form
    672.85/1,010.19 = 658.57/x
  3. Step 3: Cross multiply
    672.85x = 1,010.19 × 658.57
  4. Step 4: Simplify right side
    672.85x = 665,280.83
  5. Step 5: Solve for x
    x = 665,280.83/672.85
  6. Step 6: Final answer
    x = 988.75

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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.