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Finding the Fourth Proportional to 882.22, 1,208.49 and 872.50

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Solution

The fourth proportional to 882.22, 1,208.49 and 872.50 is: 1,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.22 : 1,208.49 = 872.50 : x
  2. Step 2: Convert to fraction form
    882.22/1,208.49 = 872.50/x
  3. Step 3: Cross multiply
    882.22x = 1,208.49 × 872.50
  4. Step 4: Simplify right side
    882.22x = 1,054,407.53
  5. Step 5: Solve for x
    x = 1,054,407.53/882.22
  6. Step 6: Final answer
    x = 1,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.