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Finding the Fourth Proportional to 2,287.72, 3,431.72 and 644.41

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Solution

The fourth proportional to 2,287.72, 3,431.72 and 644.41 is: 966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.72 : 3,431.72 = 644.41 : x
  2. Step 2: Convert to fraction form
    2,287.72/3,431.72 = 644.41/x
  3. Step 3: Cross multiply
    2,287.72x = 3,431.72 × 644.41
  4. Step 4: Simplify right side
    2,287.72x = 2,211,417.66
  5. Step 5: Solve for x
    x = 2,211,417.66/2,287.72
  6. Step 6: Final answer
    x = 966.65

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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.