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Finding the Fourth Proportional to 837.67, 1,156.11 and 800.75

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Solution

The fourth proportional to 837.67, 1,156.11 and 800.75 is: 1,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.67 : 1,156.11 = 800.75 : x
  2. Step 2: Convert to fraction form
    837.67/1,156.11 = 800.75/x
  3. Step 3: Cross multiply
    837.67x = 1,156.11 × 800.75
  4. Step 4: Simplify right side
    837.67x = 925,757.97
  5. Step 5: Solve for x
    x = 925,757.97/837.67
  6. Step 6: Final answer
    x = 1,105.16

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1.5x scale

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.