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Finding the Fourth Proportional to 874.96, 1,311.36 and 777.22

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Solution

The fourth proportional to 874.96, 1,311.36 and 777.22 is: 1,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,311.36 = 777.22 : x
  2. Step 2: Convert to fraction form
    874.96/1,311.36 = 777.22/x
  3. Step 3: Cross multiply
    874.96x = 1,311.36 × 777.22
  4. Step 4: Simplify right side
    874.96x = 1,019,215.22
  5. Step 5: Solve for x
    x = 1,019,215.22/874.96
  6. Step 6: Final answer
    x = 1,164.87

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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.