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Finding the Fourth Proportional to 789.26, 1,082.75 and 742.14

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Solution

The fourth proportional to 789.26, 1,082.75 and 742.14 is: 1,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,082.75 = 742.14 : x
  2. Step 2: Convert to fraction form
    789.26/1,082.75 = 742.14/x
  3. Step 3: Cross multiply
    789.26x = 1,082.75 × 742.14
  4. Step 4: Simplify right side
    789.26x = 803,548.37
  5. Step 5: Solve for x
    x = 803,548.37/789.26
  6. Step 6: Final answer
    x = 1,018.11

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1.5x scale

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.