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Finding the Fourth Proportional to 876.94, 1,203.82 and 868.74

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Solution

The fourth proportional to 876.94, 1,203.82 and 868.74 is: 1,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 1,203.82 = 868.74 : x
  2. Step 2: Convert to fraction form
    876.94/1,203.82 = 868.74/x
  3. Step 3: Cross multiply
    876.94x = 1,203.82 × 868.74
  4. Step 4: Simplify right side
    876.94x = 1,045,806.59
  5. Step 5: Solve for x
    x = 1,045,806.59/876.94
  6. Step 6: Final answer
    x = 1,192.56

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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.