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Finding the Fourth Proportional to 803.88, 1,204.56 and 641.52

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Solution

The fourth proportional to 803.88, 1,204.56 and 641.52 is: 961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,204.56 = 641.52 : x
  2. Step 2: Convert to fraction form
    803.88/1,204.56 = 641.52/x
  3. Step 3: Cross multiply
    803.88x = 1,204.56 × 641.52
  4. Step 4: Simplify right side
    803.88x = 772,749.33
  5. Step 5: Solve for x
    x = 772,749.33/803.88
  6. Step 6: Final answer
    x = 961.27

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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.