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Finding the Fourth Proportional to 649.88, 974.47 and 340.97

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Solution

The fourth proportional to 649.88, 974.47 and 340.97 is: 511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 974.47 = 340.97 : x
  2. Step 2: Convert to fraction form
    649.88/974.47 = 340.97/x
  3. Step 3: Cross multiply
    649.88x = 974.47 × 340.97
  4. Step 4: Simplify right side
    649.88x = 332,265.04
  5. Step 5: Solve for x
    x = 332,265.04/649.88
  6. Step 6: Final answer
    x = 511.27

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Double scale
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1.5x scale

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.