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Finding the Fourth Proportional to 943.57, 1,412.74 and 711.75

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Solution

The fourth proportional to 943.57, 1,412.74 and 711.75 is: 1,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.57 : 1,412.74 = 711.75 : x
  2. Step 2: Convert to fraction form
    943.57/1,412.74 = 711.75/x
  3. Step 3: Cross multiply
    943.57x = 1,412.74 × 711.75
  4. Step 4: Simplify right side
    943.57x = 1,005,517.70
  5. Step 5: Solve for x
    x = 1,005,517.70/943.57
  6. Step 6: Final answer
    x = 1,065.65

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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.