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Finding the Fourth Proportional to 837.57, 1,160.87 and 822.02

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Solution

The fourth proportional to 837.57, 1,160.87 and 822.02 is: 1,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.57 : 1,160.87 = 822.02 : x
  2. Step 2: Convert to fraction form
    837.57/1,160.87 = 822.02/x
  3. Step 3: Cross multiply
    837.57x = 1,160.87 × 822.02
  4. Step 4: Simplify right side
    837.57x = 954,248.44
  5. Step 5: Solve for x
    x = 954,248.44/837.57
  6. Step 6: Final answer
    x = 1,139.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.