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Finding the Fourth Proportional to 853.26, 1,279.88 and 487.79

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Solution

The fourth proportional to 853.26, 1,279.88 and 487.79 is: 731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.26 : 1,279.88 = 487.79 : x
  2. Step 2: Convert to fraction form
    853.26/1,279.88 = 487.79/x
  3. Step 3: Cross multiply
    853.26x = 1,279.88 × 487.79
  4. Step 4: Simplify right side
    853.26x = 624,307.49
  5. Step 5: Solve for x
    x = 624,307.49/853.26
  6. Step 6: Final answer
    x = 731.68

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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.