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Finding the Fourth Proportional to 649.56, 974.52 and 341.49

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Solution

The fourth proportional to 649.56, 974.52 and 341.49 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 974.52 = 341.49 : x
  2. Step 2: Convert to fraction form
    649.56/974.52 = 341.49/x
  3. Step 3: Cross multiply
    649.56x = 974.52 × 341.49
  4. Step 4: Simplify right side
    649.56x = 332,788.83
  5. Step 5: Solve for x
    x = 332,788.83/649.56
  6. Step 6: Final answer
    x = 512.33

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Half scale
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Double scale
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Similar ratio
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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.