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Finding the Fourth Proportional to 868.54, 1,198.23 and 514.20

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Solution

The fourth proportional to 868.54, 1,198.23 and 514.20 is: 709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,198.23 = 514.20 : x
  2. Step 2: Convert to fraction form
    868.54/1,198.23 = 514.20/x
  3. Step 3: Cross multiply
    868.54x = 1,198.23 × 514.20
  4. Step 4: Simplify right side
    868.54x = 616,131.79
  5. Step 5: Solve for x
    x = 616,131.79/868.54
  6. Step 6: Final answer
    x = 709.39

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Double scale
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1.5x scale

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.