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Finding the Fourth Proportional to 618.50, 853.13 and 397.10

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Solution

The fourth proportional to 618.50, 853.13 and 397.10 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.50 : 853.13 = 397.10 : x
  2. Step 2: Convert to fraction form
    618.50/853.13 = 397.10/x
  3. Step 3: Cross multiply
    618.50x = 853.13 × 397.10
  4. Step 4: Simplify right side
    618.50x = 338,778.07
  5. Step 5: Solve for x
    x = 338,778.07/618.50
  6. Step 6: Final answer
    x = 547.74

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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.