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Finding the Fourth Proportional to 872.22, 1,205.18 and 761.52

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Solution

The fourth proportional to 872.22, 1,205.18 and 761.52 is: 1,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.22 : 1,205.18 = 761.52 : x
  2. Step 2: Convert to fraction form
    872.22/1,205.18 = 761.52/x
  3. Step 3: Cross multiply
    872.22x = 1,205.18 × 761.52
  4. Step 4: Simplify right side
    872.22x = 917,768.67
  5. Step 5: Solve for x
    x = 917,768.67/872.22
  6. Step 6: Final answer
    x = 1,052.22

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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.