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Finding the Fourth Proportional to 866.69, 1,196.06 and 517.58

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Solution

The fourth proportional to 866.69, 1,196.06 and 517.58 is: 714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.69 : 1,196.06 = 517.58 : x
  2. Step 2: Convert to fraction form
    866.69/1,196.06 = 517.58/x
  3. Step 3: Cross multiply
    866.69x = 1,196.06 × 517.58
  4. Step 4: Simplify right side
    866.69x = 619,056.73
  5. Step 5: Solve for x
    x = 619,056.73/866.69
  6. Step 6: Final answer
    x = 714.28

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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.