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Finding the Fourth Proportional to 971.91, 1,340.96 and 878.36

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Solution

The fourth proportional to 971.91, 1,340.96 and 878.36 is: 1,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.91 : 1,340.96 = 878.36 : x
  2. Step 2: Convert to fraction form
    971.91/1,340.96 = 878.36/x
  3. Step 3: Cross multiply
    971.91x = 1,340.96 × 878.36
  4. Step 4: Simplify right side
    971.91x = 1,177,834.53
  5. Step 5: Solve for x
    x = 1,177,834.53/971.91
  6. Step 6: Final answer
    x = 1,211.88

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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.