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Finding the Fourth Proportional to 931.98, 1,286.17 and 512.33

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Solution

The fourth proportional to 931.98, 1,286.17 and 512.33 is: 707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,286.17 = 512.33 : x
  2. Step 2: Convert to fraction form
    931.98/1,286.17 = 512.33/x
  3. Step 3: Cross multiply
    931.98x = 1,286.17 × 512.33
  4. Step 4: Simplify right side
    931.98x = 658,945.41
  5. Step 5: Solve for x
    x = 658,945.41/931.98
  6. Step 6: Final answer
    x = 707.04

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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.