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Finding the Fourth Proportional to 943.62, 1,412.91 and 769.38

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Solution

The fourth proportional to 943.62, 1,412.91 and 769.38 is: 1,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.62 : 1,412.91 = 769.38 : x
  2. Step 2: Convert to fraction form
    943.62/1,412.91 = 769.38/x
  3. Step 3: Cross multiply
    943.62x = 1,412.91 × 769.38
  4. Step 4: Simplify right side
    943.62x = 1,087,064.70
  5. Step 5: Solve for x
    x = 1,087,064.70/943.62
  6. Step 6: Final answer
    x = 1,152.02

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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.