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Finding the Fourth Proportional to 836.12, 1,253.36 and 470.12

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Solution

The fourth proportional to 836.12, 1,253.36 and 470.12 is: 704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,253.36 = 470.12 : x
  2. Step 2: Convert to fraction form
    836.12/1,253.36 = 470.12/x
  3. Step 3: Cross multiply
    836.12x = 1,253.36 × 470.12
  4. Step 4: Simplify right side
    836.12x = 589,220.99
  5. Step 5: Solve for x
    x = 589,220.99/836.12
  6. Step 6: Final answer
    x = 704.71

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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.