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Finding the Fourth Proportional to 429.68, 640.39 and 426.11

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Solution

The fourth proportional to 429.68, 640.39 and 426.11 is: 635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 640.39 = 426.11 : x
  2. Step 2: Convert to fraction form
    429.68/640.39 = 426.11/x
  3. Step 3: Cross multiply
    429.68x = 640.39 × 426.11
  4. Step 4: Simplify right side
    429.68x = 272,876.58
  5. Step 5: Solve for x
    x = 272,876.58/429.68
  6. Step 6: Final answer
    x = 635.07

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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.