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Finding the Fourth Proportional to 591.42, 886.17 and 428.34

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Solution

The fourth proportional to 591.42, 886.17 and 428.34 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 886.17 = 428.34 : x
  2. Step 2: Convert to fraction form
    591.42/886.17 = 428.34/x
  3. Step 3: Cross multiply
    591.42x = 886.17 × 428.34
  4. Step 4: Simplify right side
    591.42x = 379,582.06
  5. Step 5: Solve for x
    x = 379,582.06/591.42
  6. Step 6: Final answer
    x = 641.81

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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.