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Finding the Fourth Proportional to 2,299.15, 3,448.69 and 567.78

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Solution

The fourth proportional to 2,299.15, 3,448.69 and 567.78 is: 851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.15 : 3,448.69 = 567.78 : x
  2. Step 2: Convert to fraction form
    2,299.15/3,448.69 = 567.78/x
  3. Step 3: Cross multiply
    2,299.15x = 3,448.69 × 567.78
  4. Step 4: Simplify right side
    2,299.15x = 1,958,082.86
  5. Step 5: Solve for x
    x = 1,958,082.86/2,299.15
  6. Step 6: Final answer
    x = 851.65

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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.