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Finding the Fourth Proportional to 2,205.39, 3,307.32 and 644.97

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Solution

The fourth proportional to 2,205.39, 3,307.32 and 644.97 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.39 : 3,307.32 = 644.97 : x
  2. Step 2: Convert to fraction form
    2,205.39/3,307.32 = 644.97/x
  3. Step 3: Cross multiply
    2,205.39x = 3,307.32 × 644.97
  4. Step 4: Simplify right side
    2,205.39x = 2,133,122.18
  5. Step 5: Solve for x
    x = 2,133,122.18/2,205.39
  6. Step 6: Final answer
    x = 967.23

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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.