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Finding the Fourth Proportional to 866.52, 1,299.92 and 319.46

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Solution

The fourth proportional to 866.52, 1,299.92 and 319.46 is: 479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.52 : 1,299.92 = 319.46 : x
  2. Step 2: Convert to fraction form
    866.52/1,299.92 = 319.46/x
  3. Step 3: Cross multiply
    866.52x = 1,299.92 × 319.46
  4. Step 4: Simplify right side
    866.52x = 415,272.44
  5. Step 5: Solve for x
    x = 415,272.44/866.52
  6. Step 6: Final answer
    x = 479.24

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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.