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Finding the Fourth Proportional to 836.36, 1,255.13 and 425.78

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Solution

The fourth proportional to 836.36, 1,255.13 and 425.78 is: 638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.36 : 1,255.13 = 425.78 : x
  2. Step 2: Convert to fraction form
    836.36/1,255.13 = 425.78/x
  3. Step 3: Cross multiply
    836.36x = 1,255.13 × 425.78
  4. Step 4: Simplify right side
    836.36x = 534,412.48
  5. Step 5: Solve for x
    x = 534,412.48/836.36
  6. Step 6: Final answer
    x = 638.98

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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.