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Finding the Fourth Proportional to 429.53, 641.00 and 383.39

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Solution

The fourth proportional to 429.53, 641.00 and 383.39 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.53 : 641.00 = 383.39 : x
  2. Step 2: Convert to fraction form
    429.53/641.00 = 383.39/x
  3. Step 3: Cross multiply
    429.53x = 641.00 × 383.39
  4. Step 4: Simplify right side
    429.53x = 245,752.79
  5. Step 5: Solve for x
    x = 245,752.79/429.53
  6. Step 6: Final answer
    x = 572.15

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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.