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Finding the Fourth Proportional to 971.37, 1,333.98 and 831.49

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Solution

The fourth proportional to 971.37, 1,333.98 and 831.49 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.37 : 1,333.98 = 831.49 : x
  2. Step 2: Convert to fraction form
    971.37/1,333.98 = 831.49/x
  3. Step 3: Cross multiply
    971.37x = 1,333.98 × 831.49
  4. Step 4: Simplify right side
    971.37x = 1,109,187.70
  5. Step 5: Solve for x
    x = 1,109,187.70/971.37
  6. Step 6: Final answer
    x = 1,141.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.