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Finding the Fourth Proportional to 618.12, 853.92 and 501.48

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Solution

The fourth proportional to 618.12, 853.92 and 501.48 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.12 : 853.92 = 501.48 : x
  2. Step 2: Convert to fraction form
    618.12/853.92 = 501.48/x
  3. Step 3: Cross multiply
    618.12x = 853.92 × 501.48
  4. Step 4: Simplify right side
    618.12x = 428,223.80
  5. Step 5: Solve for x
    x = 428,223.80/618.12
  6. Step 6: Final answer
    x = 692.78

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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.