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Finding the Fourth Proportional to 2,205.52, 3,308.26 and 666.52

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Solution

The fourth proportional to 2,205.52, 3,308.26 and 666.52 is: 999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.52 : 3,308.26 = 666.52 : x
  2. Step 2: Convert to fraction form
    2,205.52/3,308.26 = 666.52/x
  3. Step 3: Cross multiply
    2,205.52x = 3,308.26 × 666.52
  4. Step 4: Simplify right side
    2,205.52x = 2,205,021.46
  5. Step 5: Solve for x
    x = 2,205,021.46/2,205.52
  6. Step 6: Final answer
    x = 999.77

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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.