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Finding the Fourth Proportional to 723.71, 996.93 and 686.65

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Solution

The fourth proportional to 723.71, 996.93 and 686.65 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.71 : 996.93 = 686.65 : x
  2. Step 2: Convert to fraction form
    723.71/996.93 = 686.65/x
  3. Step 3: Cross multiply
    723.71x = 996.93 × 686.65
  4. Step 4: Simplify right side
    723.71x = 684,541.98
  5. Step 5: Solve for x
    x = 684,541.98/723.71
  6. Step 6: Final answer
    x = 945.88

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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.