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Finding the Fourth Proportional to 836.01, 1,253.19 and 349.20

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Solution

The fourth proportional to 836.01, 1,253.19 and 349.20 is: 523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.01 : 1,253.19 = 349.20 : x
  2. Step 2: Convert to fraction form
    836.01/1,253.19 = 349.20/x
  3. Step 3: Cross multiply
    836.01x = 1,253.19 × 349.20
  4. Step 4: Simplify right side
    836.01x = 437,613.95
  5. Step 5: Solve for x
    x = 437,613.95/836.01
  6. Step 6: Final answer
    x = 523.46

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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.