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Finding the Fourth Proportional to 762.90, 1,143.14 and 742.65

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Solution

The fourth proportional to 762.90, 1,143.14 and 742.65 is: 1,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.90 : 1,143.14 = 742.65 : x
  2. Step 2: Convert to fraction form
    762.90/1,143.14 = 742.65/x
  3. Step 3: Cross multiply
    762.90x = 1,143.14 × 742.65
  4. Step 4: Simplify right side
    762.90x = 848,949.21
  5. Step 5: Solve for x
    x = 848,949.21/762.90
  6. Step 6: Final answer
    x = 1,112.79

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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.