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Finding the Fourth Proportional to 429.68, 640.38 and 426.10

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Solution

The fourth proportional to 429.68, 640.38 and 426.10 is: 635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 640.38 = 426.10 : x
  2. Step 2: Convert to fraction form
    429.68/640.38 = 426.10/x
  3. Step 3: Cross multiply
    429.68x = 640.38 × 426.10
  4. Step 4: Simplify right side
    429.68x = 272,865.92
  5. Step 5: Solve for x
    x = 272,865.92/429.68
  6. Step 6: Final answer
    x = 635.04

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