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Finding the Fourth Proportional to 582.86, 872.39 and 428.75

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Solution

The fourth proportional to 582.86, 872.39 and 428.75 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 872.39 = 428.75 : x
  2. Step 2: Convert to fraction form
    582.86/872.39 = 428.75/x
  3. Step 3: Cross multiply
    582.86x = 872.39 × 428.75
  4. Step 4: Simplify right side
    582.86x = 374,037.21
  5. Step 5: Solve for x
    x = 374,037.21/582.86
  6. Step 6: Final answer
    x = 641.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.