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Finding the Fourth Proportional to 853.21, 1,279.81 and 564.58

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Solution

The fourth proportional to 853.21, 1,279.81 and 564.58 is: 846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.21 : 1,279.81 = 564.58 : x
  2. Step 2: Convert to fraction form
    853.21/1,279.81 = 564.58/x
  3. Step 3: Cross multiply
    853.21x = 1,279.81 × 564.58
  4. Step 4: Simplify right side
    853.21x = 722,545.91
  5. Step 5: Solve for x
    x = 722,545.91/853.21
  6. Step 6: Final answer
    x = 846.86

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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.