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Finding the Fourth Proportional to 832.70, 1,144.53 and 733.88

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Solution

The fourth proportional to 832.70, 1,144.53 and 733.88 is: 1,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.70 : 1,144.53 = 733.88 : x
  2. Step 2: Convert to fraction form
    832.70/1,144.53 = 733.88/x
  3. Step 3: Cross multiply
    832.70x = 1,144.53 × 733.88
  4. Step 4: Simplify right side
    832.70x = 839,947.68
  5. Step 5: Solve for x
    x = 839,947.68/832.70
  6. Step 6: Final answer
    x = 1,008.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.