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Finding the Fourth Proportional to 843.44, 1,263.09 and 431.99

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Solution

The fourth proportional to 843.44, 1,263.09 and 431.99 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.44 : 1,263.09 = 431.99 : x
  2. Step 2: Convert to fraction form
    843.44/1,263.09 = 431.99/x
  3. Step 3: Cross multiply
    843.44x = 1,263.09 × 431.99
  4. Step 4: Simplify right side
    843.44x = 545,642.25
  5. Step 5: Solve for x
    x = 545,642.25/843.44
  6. Step 6: Final answer
    x = 646.92

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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.