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Finding the Fourth Proportional to 649.75, 974.67 and 187.57

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Solution

The fourth proportional to 649.75, 974.67 and 187.57 is: 281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 974.67 = 187.57 : x
  2. Step 2: Convert to fraction form
    649.75/974.67 = 187.57/x
  3. Step 3: Cross multiply
    649.75x = 974.67 × 187.57
  4. Step 4: Simplify right side
    649.75x = 182,818.85
  5. Step 5: Solve for x
    x = 182,818.85/649.75
  6. Step 6: Final answer
    x = 281.37

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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.