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Finding the Fourth Proportional to 868.66, 1,299.71 and 529.31

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Solution

The fourth proportional to 868.66, 1,299.71 and 529.31 is: 791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.66 : 1,299.71 = 529.31 : x
  2. Step 2: Convert to fraction form
    868.66/1,299.71 = 529.31/x
  3. Step 3: Cross multiply
    868.66x = 1,299.71 × 529.31
  4. Step 4: Simplify right side
    868.66x = 687,949.50
  5. Step 5: Solve for x
    x = 687,949.50/868.66
  6. Step 6: Final answer
    x = 791.97

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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.