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Finding the Fourth Proportional to 649.88, 974.98 and 187.69

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Solution

The fourth proportional to 649.88, 974.98 and 187.69 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 974.98 = 187.69 : x
  2. Step 2: Convert to fraction form
    649.88/974.98 = 187.69/x
  3. Step 3: Cross multiply
    649.88x = 974.98 × 187.69
  4. Step 4: Simplify right side
    649.88x = 182,993.06
  5. Step 5: Solve for x
    x = 182,993.06/649.88
  6. Step 6: Final answer
    x = 281.58

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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.