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Finding the Fourth Proportional to 723.20, 998.16 and 461.20

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Solution

The fourth proportional to 723.20, 998.16 and 461.20 is: 636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.20 : 998.16 = 461.20 : x
  2. Step 2: Convert to fraction form
    723.20/998.16 = 461.20/x
  3. Step 3: Cross multiply
    723.20x = 998.16 × 461.20
  4. Step 4: Simplify right side
    723.20x = 460,351.39
  5. Step 5: Solve for x
    x = 460,351.39/723.20
  6. Step 6: Final answer
    x = 636.55

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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.