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Finding the Fourth Proportional to 429.93, 640.76 and 426.35

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Solution

The fourth proportional to 429.93, 640.76 and 426.35 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 640.76 = 426.35 : x
  2. Step 2: Convert to fraction form
    429.93/640.76 = 426.35/x
  3. Step 3: Cross multiply
    429.93x = 640.76 × 426.35
  4. Step 4: Simplify right side
    429.93x = 273,187.50
  5. Step 5: Solve for x
    x = 273,187.50/429.93
  6. Step 6: Final answer
    x = 635.42

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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.