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Finding the Fourth Proportional to 1,001.22, 1,380.41 and 646.55

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Solution

The fourth proportional to 1,001.22, 1,380.41 and 646.55 is: 891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.22 : 1,380.41 = 646.55 : x
  2. Step 2: Convert to fraction form
    1,001.22/1,380.41 = 646.55/x
  3. Step 3: Cross multiply
    1,001.22x = 1,380.41 × 646.55
  4. Step 4: Simplify right side
    1,001.22x = 892,493.95
  5. Step 5: Solve for x
    x = 892,493.95/1,001.22
  6. Step 6: Final answer
    x = 891.41

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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.