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Finding the Fourth Proportional to 1,204.52, 1,661.46 and 1,006.52

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Solution

The fourth proportional to 1,204.52, 1,661.46 and 1,006.52 is: 1,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.52 : 1,661.46 = 1,006.52 : x
  2. Step 2: Convert to fraction form
    1,204.52/1,661.46 = 1,006.52/x
  3. Step 3: Cross multiply
    1,204.52x = 1,661.46 × 1,006.52
  4. Step 4: Simplify right side
    1,204.52x = 1,672,292.72
  5. Step 5: Solve for x
    x = 1,672,292.72/1,204.52
  6. Step 6: Final answer
    x = 1,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.