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Finding the Fourth Proportional to 853.42, 1,278.08 and 487.10

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Solution

The fourth proportional to 853.42, 1,278.08 and 487.10 is: 729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,278.08 = 487.10 : x
  2. Step 2: Convert to fraction form
    853.42/1,278.08 = 487.10/x
  3. Step 3: Cross multiply
    853.42x = 1,278.08 × 487.10
  4. Step 4: Simplify right side
    853.42x = 622,555.70
  5. Step 5: Solve for x
    x = 622,555.70/853.42
  6. Step 6: Final answer
    x = 729.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.