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Finding the Fourth Proportional to 976.92, 1,456.94 and 831.57

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Solution

The fourth proportional to 976.92, 1,456.94 and 831.57 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.92 : 1,456.94 = 831.57 : x
  2. Step 2: Convert to fraction form
    976.92/1,456.94 = 831.57/x
  3. Step 3: Cross multiply
    976.92x = 1,456.94 × 831.57
  4. Step 4: Simplify right side
    976.92x = 1,211,543.44
  5. Step 5: Solve for x
    x = 1,211,543.44/976.92
  6. Step 6: Final answer
    x = 1,240.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.