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Finding the Fourth Proportional to 591.07, 885.28 and 428.38

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Solution

The fourth proportional to 591.07, 885.28 and 428.38 is: 641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 885.28 = 428.38 : x
  2. Step 2: Convert to fraction form
    591.07/885.28 = 428.38/x
  3. Step 3: Cross multiply
    591.07x = 885.28 × 428.38
  4. Step 4: Simplify right side
    591.07x = 379,230.75
  5. Step 5: Solve for x
    x = 379,230.75/591.07
  6. Step 6: Final answer
    x = 641.61

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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.