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Finding the Fourth Proportional to 782.96, 1,082.04 and 627.44

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Solution

The fourth proportional to 782.96, 1,082.04 and 627.44 is: 867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.96 : 1,082.04 = 627.44 : x
  2. Step 2: Convert to fraction form
    782.96/1,082.04 = 627.44/x
  3. Step 3: Cross multiply
    782.96x = 1,082.04 × 627.44
  4. Step 4: Simplify right side
    782.96x = 678,915.18
  5. Step 5: Solve for x
    x = 678,915.18/782.96
  6. Step 6: Final answer
    x = 867.11

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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.