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Finding the Fourth Proportional to 618.98, 852.86 and 422.15

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Solution

The fourth proportional to 618.98, 852.86 and 422.15 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 852.86 = 422.15 : x
  2. Step 2: Convert to fraction form
    618.98/852.86 = 422.15/x
  3. Step 3: Cross multiply
    618.98x = 852.86 × 422.15
  4. Step 4: Simplify right side
    618.98x = 360,034.85
  5. Step 5: Solve for x
    x = 360,034.85/618.98
  6. Step 6: Final answer
    x = 581.66

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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.