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Finding the Fourth Proportional to 429.62, 641.62 and 426.86

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Solution

The fourth proportional to 429.62, 641.62 and 426.86 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 641.62 = 426.86 : x
  2. Step 2: Convert to fraction form
    429.62/641.62 = 426.86/x
  3. Step 3: Cross multiply
    429.62x = 641.62 × 426.86
  4. Step 4: Simplify right side
    429.62x = 273,881.91
  5. Step 5: Solve for x
    x = 273,881.91/429.62
  6. Step 6: Final answer
    x = 637.50

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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.