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Finding the Fourth Proportional to 649.18, 974.72 and 404.97

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Solution

The fourth proportional to 649.18, 974.72 and 404.97 is: 608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.18 : 974.72 = 404.97 : x
  2. Step 2: Convert to fraction form
    649.18/974.72 = 404.97/x
  3. Step 3: Cross multiply
    649.18x = 974.72 × 404.97
  4. Step 4: Simplify right side
    649.18x = 394,732.36
  5. Step 5: Solve for x
    x = 394,732.36/649.18
  6. Step 6: Final answer
    x = 608.05

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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.