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Finding the Fourth Proportional to 836.38, 1,254.34 and 349.35

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Solution

The fourth proportional to 836.38, 1,254.34 and 349.35 is: 523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.38 : 1,254.34 = 349.35 : x
  2. Step 2: Convert to fraction form
    836.38/1,254.34 = 349.35/x
  3. Step 3: Cross multiply
    836.38x = 1,254.34 × 349.35
  4. Step 4: Simplify right side
    836.38x = 438,203.68
  5. Step 5: Solve for x
    x = 438,203.68/836.38
  6. Step 6: Final answer
    x = 523.93

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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.