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Finding the Fourth Proportional to 723.17, 998.14 and 613.46

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Solution

The fourth proportional to 723.17, 998.14 and 613.46 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.17 : 998.14 = 613.46 : x
  2. Step 2: Convert to fraction form
    723.17/998.14 = 613.46/x
  3. Step 3: Cross multiply
    723.17x = 998.14 × 613.46
  4. Step 4: Simplify right side
    723.17x = 612,318.96
  5. Step 5: Solve for x
    x = 612,318.96/723.17
  6. Step 6: Final answer
    x = 846.72

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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.