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Finding the Fourth Proportional to 853.91, 1,279.60 and 700.91

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Solution

The fourth proportional to 853.91, 1,279.60 and 700.91 is: 1,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.91 : 1,279.60 = 700.91 : x
  2. Step 2: Convert to fraction form
    853.91/1,279.60 = 700.91/x
  3. Step 3: Cross multiply
    853.91x = 1,279.60 × 700.91
  4. Step 4: Simplify right side
    853.91x = 896,884.44
  5. Step 5: Solve for x
    x = 896,884.44/853.91
  6. Step 6: Final answer
    x = 1,050.33

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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.