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Finding the Fourth Proportional to 2,288.11, 3,432.18 and 644.69

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Solution

The fourth proportional to 2,288.11, 3,432.18 and 644.69 is: 967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.11 : 3,432.18 = 644.69 : x
  2. Step 2: Convert to fraction form
    2,288.11/3,432.18 = 644.69/x
  3. Step 3: Cross multiply
    2,288.11x = 3,432.18 × 644.69
  4. Step 4: Simplify right side
    2,288.11x = 2,212,692.12
  5. Step 5: Solve for x
    x = 2,212,692.12/2,288.11
  6. Step 6: Final answer
    x = 967.04

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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.