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Finding the Fourth Proportional to 713.42, 984.31 and 461.24

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Solution

The fourth proportional to 713.42, 984.31 and 461.24 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 984.31 = 461.24 : x
  2. Step 2: Convert to fraction form
    713.42/984.31 = 461.24/x
  3. Step 3: Cross multiply
    713.42x = 984.31 × 461.24
  4. Step 4: Simplify right side
    713.42x = 454,003.14
  5. Step 5: Solve for x
    x = 454,003.14/713.42
  6. Step 6: Final answer
    x = 636.38

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.