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Finding the Fourth Proportional to 943.26, 1,412.28 and 711.45

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Solution

The fourth proportional to 943.26, 1,412.28 and 711.45 is: 1,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.26 : 1,412.28 = 711.45 : x
  2. Step 2: Convert to fraction form
    943.26/1,412.28 = 711.45/x
  3. Step 3: Cross multiply
    943.26x = 1,412.28 × 711.45
  4. Step 4: Simplify right side
    943.26x = 1,004,766.61
  5. Step 5: Solve for x
    x = 1,004,766.61/943.26
  6. Step 6: Final answer
    x = 1,065.21

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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.