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Finding the Fourth Proportional to 868.85, 1,199.57 and 775.43

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Solution

The fourth proportional to 868.85, 1,199.57 and 775.43 is: 1,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.85 : 1,199.57 = 775.43 : x
  2. Step 2: Convert to fraction form
    868.85/1,199.57 = 775.43/x
  3. Step 3: Cross multiply
    868.85x = 1,199.57 × 775.43
  4. Step 4: Simplify right side
    868.85x = 930,177.19
  5. Step 5: Solve for x
    x = 930,177.19/868.85
  6. Step 6: Final answer
    x = 1,070.59

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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.