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Finding the Fourth Proportional to 426.06, 635.04 and 398.52

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Solution

The fourth proportional to 426.06, 635.04 and 398.52 is: 593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 635.04 = 398.52 : x
  2. Step 2: Convert to fraction form
    426.06/635.04 = 398.52/x
  3. Step 3: Cross multiply
    426.06x = 635.04 × 398.52
  4. Step 4: Simplify right side
    426.06x = 253,076.14
  5. Step 5: Solve for x
    x = 253,076.14/426.06
  6. Step 6: Final answer
    x = 593.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.