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Finding the Fourth Proportional to 868.55, 1,300.26 and 575.49

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Solution

The fourth proportional to 868.55, 1,300.26 and 575.49 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.55 : 1,300.26 = 575.49 : x
  2. Step 2: Convert to fraction form
    868.55/1,300.26 = 575.49/x
  3. Step 3: Cross multiply
    868.55x = 1,300.26 × 575.49
  4. Step 4: Simplify right side
    868.55x = 748,286.63
  5. Step 5: Solve for x
    x = 748,286.63/868.55
  6. Step 6: Final answer
    x = 861.54

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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.