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Finding the Fourth Proportional to 591.29, 886.47 and 408.14

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Solution

The fourth proportional to 591.29, 886.47 and 408.14 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.29 : 886.47 = 408.14 : x
  2. Step 2: Convert to fraction form
    591.29/886.47 = 408.14/x
  3. Step 3: Cross multiply
    591.29x = 886.47 × 408.14
  4. Step 4: Simplify right side
    591.29x = 361,803.87
  5. Step 5: Solve for x
    x = 361,803.87/591.29
  6. Step 6: Final answer
    x = 611.89

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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.