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Finding the Fourth Proportional to 2,288.44, 3,432.25 and 644.59

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Solution

The fourth proportional to 2,288.44, 3,432.25 and 644.59 is: 966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.44 : 3,432.25 = 644.59 : x
  2. Step 2: Convert to fraction form
    2,288.44/3,432.25 = 644.59/x
  3. Step 3: Cross multiply
    2,288.44x = 3,432.25 × 644.59
  4. Step 4: Simplify right side
    2,288.44x = 2,212,399.12
  5. Step 5: Solve for x
    x = 2,212,399.12/2,288.44
  6. Step 6: Final answer
    x = 966.77

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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.