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Finding the Fourth Proportional to 723.75, 1,082.95 and 627.37

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Solution

The fourth proportional to 723.75, 1,082.95 and 627.37 is: 938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 1,082.95 = 627.37 : x
  2. Step 2: Convert to fraction form
    723.75/1,082.95 = 627.37/x
  3. Step 3: Cross multiply
    723.75x = 1,082.95 × 627.37
  4. Step 4: Simplify right side
    723.75x = 679,410.34
  5. Step 5: Solve for x
    x = 679,410.34/723.75
  6. Step 6: Final answer
    x = 938.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.