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Finding the Fourth Proportional to 2,212.85, 3,319.46 and 569.39

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Solution

The fourth proportional to 2,212.85, 3,319.46 and 569.39 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.85 : 3,319.46 = 569.39 : x
  2. Step 2: Convert to fraction form
    2,212.85/3,319.46 = 569.39/x
  3. Step 3: Cross multiply
    2,212.85x = 3,319.46 × 569.39
  4. Step 4: Simplify right side
    2,212.85x = 1,890,077.05
  5. Step 5: Solve for x
    x = 1,890,077.05/2,212.85
  6. Step 6: Final answer
    x = 854.14

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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.