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Finding the Fourth Proportional to 723.18, 998.10 and 461.82

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Solution

The fourth proportional to 723.18, 998.10 and 461.82 is: 637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 998.10 = 461.82 : x
  2. Step 2: Convert to fraction form
    723.18/998.10 = 461.82/x
  3. Step 3: Cross multiply
    723.18x = 998.10 × 461.82
  4. Step 4: Simplify right side
    723.18x = 460,942.54
  5. Step 5: Solve for x
    x = 460,942.54/723.18
  6. Step 6: Final answer
    x = 637.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 724.18, 999.48 and 462.82
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.