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Finding the Fourth Proportional to 835.28, 1,253.00 and 287.39

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Solution

The fourth proportional to 835.28, 1,253.00 and 287.39 is: 431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.28 : 1,253.00 = 287.39 : x
  2. Step 2: Convert to fraction form
    835.28/1,253.00 = 287.39/x
  3. Step 3: Cross multiply
    835.28x = 1,253.00 × 287.39
  4. Step 4: Simplify right side
    835.28x = 360,091.97
  5. Step 5: Solve for x
    x = 360,091.97/835.28
  6. Step 6: Final answer
    x = 431.11

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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.