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Finding the Fourth Proportional to 2,212.64, 3,319.08 and 569.20

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Solution

The fourth proportional to 2,212.64, 3,319.08 and 569.20 is: 853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.64 : 3,319.08 = 569.20 : x
  2. Step 2: Convert to fraction form
    2,212.64/3,319.08 = 569.20/x
  3. Step 3: Cross multiply
    2,212.64x = 3,319.08 × 569.20
  4. Step 4: Simplify right side
    2,212.64x = 1,889,222.35
  5. Step 5: Solve for x
    x = 1,889,222.35/2,212.64
  6. Step 6: Final answer
    x = 853.83

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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.