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Finding the Fourth Proportional to 868.45, 1,198.38 and 475.48

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Solution

The fourth proportional to 868.45, 1,198.38 and 475.48 is: 656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.45 : 1,198.38 = 475.48 : x
  2. Step 2: Convert to fraction form
    868.45/1,198.38 = 475.48/x
  3. Step 3: Cross multiply
    868.45x = 1,198.38 × 475.48
  4. Step 4: Simplify right side
    868.45x = 569,805.72
  5. Step 5: Solve for x
    x = 569,805.72/868.45
  6. Step 6: Final answer
    x = 656.12

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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.