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Finding the Fourth Proportional to 654.38, 981.56 and 329.66

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Solution

The fourth proportional to 654.38, 981.56 and 329.66 is: 494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.38 : 981.56 = 329.66 : x
  2. Step 2: Convert to fraction form
    654.38/981.56 = 329.66/x
  3. Step 3: Cross multiply
    654.38x = 981.56 × 329.66
  4. Step 4: Simplify right side
    654.38x = 323,579.42
  5. Step 5: Solve for x
    x = 323,579.42/654.38
  6. Step 6: Final answer
    x = 494.48

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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.