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Finding the Fourth Proportional to 2,204.66, 3,307 and 538.79

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Solution

The fourth proportional to 2,204.66, 3,307 and 538.79 is: 808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.66 : 3,307 = 538.79 : x
  2. Step 2: Convert to fraction form
    2,204.66/3,307 = 538.79/x
  3. Step 3: Cross multiply
    2,204.66x = 3,307 × 538.79
  4. Step 4: Simplify right side
    2,204.66x = 1,781,778.53
  5. Step 5: Solve for x
    x = 1,781,778.53/2,204.66
  6. Step 6: Final answer
    x = 808.19

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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.