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Finding the Fourth Proportional to 836.06, 1,253.41 and 419.31

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Solution

The fourth proportional to 836.06, 1,253.41 and 419.31 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.06 : 1,253.41 = 419.31 : x
  2. Step 2: Convert to fraction form
    836.06/1,253.41 = 419.31/x
  3. Step 3: Cross multiply
    836.06x = 1,253.41 × 419.31
  4. Step 4: Simplify right side
    836.06x = 525,566.30
  5. Step 5: Solve for x
    x = 525,566.30/836.06
  6. Step 6: Final answer
    x = 628.63

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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.