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Finding the Fourth Proportional to 429.96, 641.62 and 383.81

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Solution

The fourth proportional to 429.96, 641.62 and 383.81 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 641.62 = 383.81 : x
  2. Step 2: Convert to fraction form
    429.96/641.62 = 383.81/x
  3. Step 3: Cross multiply
    429.96x = 641.62 × 383.81
  4. Step 4: Simplify right side
    429.96x = 246,262.86
  5. Step 5: Solve for x
    x = 246,262.86/429.96
  6. Step 6: Final answer
    x = 572.76

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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.