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Finding the Fourth Proportional to 868.10, 1,197.88 and 514.15

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Solution

The fourth proportional to 868.10, 1,197.88 and 514.15 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.10 : 1,197.88 = 514.15 : x
  2. Step 2: Convert to fraction form
    868.10/1,197.88 = 514.15/x
  3. Step 3: Cross multiply
    868.10x = 1,197.88 × 514.15
  4. Step 4: Simplify right side
    868.10x = 615,885.72
  5. Step 5: Solve for x
    x = 615,885.72/868.10
  6. Step 6: Final answer
    x = 709.47

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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.