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Finding the Fourth Proportional to 649.54, 974.31 and 341.20

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Solution

The fourth proportional to 649.54, 974.31 and 341.20 is: 511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 974.31 = 341.20 : x
  2. Step 2: Convert to fraction form
    649.54/974.31 = 341.20/x
  3. Step 3: Cross multiply
    649.54x = 974.31 × 341.20
  4. Step 4: Simplify right side
    649.54x = 332,434.57
  5. Step 5: Solve for x
    x = 332,434.57/649.54
  6. Step 6: Final answer
    x = 511.80

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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.