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Finding the Fourth Proportional to 836.35, 1,253.00 and 425.07

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Solution

The fourth proportional to 836.35, 1,253.00 and 425.07 is: 636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.35 : 1,253.00 = 425.07 : x
  2. Step 2: Convert to fraction form
    836.35/1,253.00 = 425.07/x
  3. Step 3: Cross multiply
    836.35x = 1,253.00 × 425.07
  4. Step 4: Simplify right side
    836.35x = 532,613.77
  5. Step 5: Solve for x
    x = 532,613.77/836.35
  6. Step 6: Final answer
    x = 636.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.