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Finding the Fourth Proportional to 981.24, 1,353.69 and 831.22

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Solution

The fourth proportional to 981.24, 1,353.69 and 831.22 is: 1,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.24 : 1,353.69 = 831.22 : x
  2. Step 2: Convert to fraction form
    981.24/1,353.69 = 831.22/x
  3. Step 3: Cross multiply
    981.24x = 1,353.69 × 831.22
  4. Step 4: Simplify right side
    981.24x = 1,125,212.29
  5. Step 5: Solve for x
    x = 1,125,212.29/981.24
  6. Step 6: Final answer
    x = 1,146.73

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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.