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Finding the Fourth Proportional to 800.96, 1,193.24 and 771.56

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Solution

The fourth proportional to 800.96, 1,193.24 and 771.56 is: 1,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.96 : 1,193.24 = 771.56 : x
  2. Step 2: Convert to fraction form
    800.96/1,193.24 = 771.56/x
  3. Step 3: Cross multiply
    800.96x = 1,193.24 × 771.56
  4. Step 4: Simplify right side
    800.96x = 920,656.25
  5. Step 5: Solve for x
    x = 920,656.25/800.96
  6. Step 6: Final answer
    x = 1,149.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.