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Finding the Fourth Proportional to 991.32, 1,370.70 and 868.44

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Solution

The fourth proportional to 991.32, 1,370.70 and 868.44 is: 1,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.32 : 1,370.70 = 868.44 : x
  2. Step 2: Convert to fraction form
    991.32/1,370.70 = 868.44/x
  3. Step 3: Cross multiply
    991.32x = 1,370.70 × 868.44
  4. Step 4: Simplify right side
    991.32x = 1,190,370.71
  5. Step 5: Solve for x
    x = 1,190,370.71/991.32
  6. Step 6: Final answer
    x = 1,200.79

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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.