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Finding the Fourth Proportional to 866.89, 1,196.40 and 517.57

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Solution

The fourth proportional to 866.89, 1,196.40 and 517.57 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.89 : 1,196.40 = 517.57 : x
  2. Step 2: Convert to fraction form
    866.89/1,196.40 = 517.57/x
  3. Step 3: Cross multiply
    866.89x = 1,196.40 × 517.57
  4. Step 4: Simplify right side
    866.89x = 619,220.75
  5. Step 5: Solve for x
    x = 619,220.75/866.89
  6. Step 6: Final answer
    x = 714.30

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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.