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Finding the Fourth Proportional to 868.64, 1,198.67 and 514.55

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Solution

The fourth proportional to 868.64, 1,198.67 and 514.55 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,198.67 = 514.55 : x
  2. Step 2: Convert to fraction form
    868.64/1,198.67 = 514.55/x
  3. Step 3: Cross multiply
    868.64x = 1,198.67 × 514.55
  4. Step 4: Simplify right side
    868.64x = 616,775.65
  5. Step 5: Solve for x
    x = 616,775.65/868.64
  6. Step 6: Final answer
    x = 710.05

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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.