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Finding the Fourth Proportional to 822.28, 1,132.34 and 805.24

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Solution

The fourth proportional to 822.28, 1,132.34 and 805.24 is: 1,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,132.34 = 805.24 : x
  2. Step 2: Convert to fraction form
    822.28/1,132.34 = 805.24/x
  3. Step 3: Cross multiply
    822.28x = 1,132.34 × 805.24
  4. Step 4: Simplify right side
    822.28x = 911,805.46
  5. Step 5: Solve for x
    x = 911,805.46/822.28
  6. Step 6: Final answer
    x = 1,108.87

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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.