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Finding the Fourth Proportional to 891.16, 1,334.86 and 716.88

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Solution

The fourth proportional to 891.16, 1,334.86 and 716.88 is: 1,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.16 : 1,334.86 = 716.88 : x
  2. Step 2: Convert to fraction form
    891.16/1,334.86 = 716.88/x
  3. Step 3: Cross multiply
    891.16x = 1,334.86 × 716.88
  4. Step 4: Simplify right side
    891.16x = 956,934.44
  5. Step 5: Solve for x
    x = 956,934.44/891.16
  6. Step 6: Final answer
    x = 1,073.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.