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Finding the Fourth Proportional to 866.39, 1,195.67 and 512.60

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Solution

The fourth proportional to 866.39, 1,195.67 and 512.60 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.39 : 1,195.67 = 512.60 : x
  2. Step 2: Convert to fraction form
    866.39/1,195.67 = 512.60/x
  3. Step 3: Cross multiply
    866.39x = 1,195.67 × 512.60
  4. Step 4: Simplify right side
    866.39x = 612,895.75
  5. Step 5: Solve for x
    x = 612,895.75/866.39
  6. Step 6: Final answer
    x = 707.42

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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.