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Finding the Fourth Proportional to 762.46, 1,142.46 and 689.56

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Solution

The fourth proportional to 762.46, 1,142.46 and 689.56 is: 1,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,142.46 = 689.56 : x
  2. Step 2: Convert to fraction form
    762.46/1,142.46 = 689.56/x
  3. Step 3: Cross multiply
    762.46x = 1,142.46 × 689.56
  4. Step 4: Simplify right side
    762.46x = 787,794.72
  5. Step 5: Solve for x
    x = 787,794.72/762.46
  6. Step 6: Final answer
    x = 1,033.23

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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.