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Finding the Fourth Proportional to 2,288.23, 3,432.29 and 644.74

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Solution

The fourth proportional to 2,288.23, 3,432.29 and 644.74 is: 967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.23 : 3,432.29 = 644.74 : x
  2. Step 2: Convert to fraction form
    2,288.23/3,432.29 = 644.74/x
  3. Step 3: Cross multiply
    2,288.23x = 3,432.29 × 644.74
  4. Step 4: Simplify right side
    2,288.23x = 2,212,922.85
  5. Step 5: Solve for x
    x = 2,212,922.85/2,288.23
  6. Step 6: Final answer
    x = 967.09

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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.