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Finding the Fourth Proportional to 426.90, 635.58 and 420.82

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Solution

The fourth proportional to 426.90, 635.58 and 420.82 is: 626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.90 : 635.58 = 420.82 : x
  2. Step 2: Convert to fraction form
    426.90/635.58 = 420.82/x
  3. Step 3: Cross multiply
    426.90x = 635.58 × 420.82
  4. Step 4: Simplify right side
    426.90x = 267,464.78
  5. Step 5: Solve for x
    x = 267,464.78/426.90
  6. Step 6: Final answer
    x = 626.53

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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.