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Finding the Fourth Proportional to 784.11, 1,082.13 and 452.46

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Solution

The fourth proportional to 784.11, 1,082.13 and 452.46 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,082.13 = 452.46 : x
  2. Step 2: Convert to fraction form
    784.11/1,082.13 = 452.46/x
  3. Step 3: Cross multiply
    784.11x = 1,082.13 × 452.46
  4. Step 4: Simplify right side
    784.11x = 489,620.54
  5. Step 5: Solve for x
    x = 489,620.54/784.11
  6. Step 6: Final answer
    x = 624.43

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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.