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Finding the Fourth Proportional to 872.82, 1,204.48 and 474.49

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Solution

The fourth proportional to 872.82, 1,204.48 and 474.49 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.82 : 1,204.48 = 474.49 : x
  2. Step 2: Convert to fraction form
    872.82/1,204.48 = 474.49/x
  3. Step 3: Cross multiply
    872.82x = 1,204.48 × 474.49
  4. Step 4: Simplify right side
    872.82x = 571,514.48
  5. Step 5: Solve for x
    x = 571,514.48/872.82
  6. Step 6: Final answer
    x = 654.79

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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.