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Finding the Fourth Proportional to 2,205.23, 3,307 and 644.71

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Solution

The fourth proportional to 2,205.23, 3,307 and 644.71 is: 966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.23 : 3,307 = 644.71 : x
  2. Step 2: Convert to fraction form
    2,205.23/3,307 = 644.71/x
  3. Step 3: Cross multiply
    2,205.23x = 3,307 × 644.71
  4. Step 4: Simplify right side
    2,205.23x = 2,132,055.97
  5. Step 5: Solve for x
    x = 2,132,055.97/2,205.23
  6. Step 6: Final answer
    x = 966.82

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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.