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Finding the Fourth Proportional to 971.68, 1,340.02 and 723.62

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Solution

The fourth proportional to 971.68, 1,340.02 and 723.62 is: 997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.68 : 1,340.02 = 723.62 : x
  2. Step 2: Convert to fraction form
    971.68/1,340.02 = 723.62/x
  3. Step 3: Cross multiply
    971.68x = 1,340.02 × 723.62
  4. Step 4: Simplify right side
    971.68x = 969,665.27
  5. Step 5: Solve for x
    x = 969,665.27/971.68
  6. Step 6: Final answer
    x = 997.93

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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.