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Finding the Fourth Proportional to 943.20, 1,412.01 and 700.80

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Solution

The fourth proportional to 943.20, 1,412.01 and 700.80 is: 1,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.20 : 1,412.01 = 700.80 : x
  2. Step 2: Convert to fraction form
    943.20/1,412.01 = 700.80/x
  3. Step 3: Cross multiply
    943.20x = 1,412.01 × 700.80
  4. Step 4: Simplify right side
    943.20x = 989,536.61
  5. Step 5: Solve for x
    x = 989,536.61/943.20
  6. Step 6: Final answer
    x = 1,049.13

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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.