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Finding the Fourth Proportional to 836.27, 1,253.74 and 288.30

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Solution

The fourth proportional to 836.27, 1,253.74 and 288.30 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,253.74 = 288.30 : x
  2. Step 2: Convert to fraction form
    836.27/1,253.74 = 288.30/x
  3. Step 3: Cross multiply
    836.27x = 1,253.74 × 288.30
  4. Step 4: Simplify right side
    836.27x = 361,453.24
  5. Step 5: Solve for x
    x = 361,453.24/836.27
  6. Step 6: Final answer
    x = 432.22

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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.