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Finding the Fourth Proportional to 591.26, 886.56 and 408.47

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Solution

The fourth proportional to 591.26, 886.56 and 408.47 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.26 : 886.56 = 408.47 : x
  2. Step 2: Convert to fraction form
    591.26/886.56 = 408.47/x
  3. Step 3: Cross multiply
    591.26x = 886.56 × 408.47
  4. Step 4: Simplify right side
    591.26x = 362,133.16
  5. Step 5: Solve for x
    x = 362,133.16/591.26
  6. Step 6: Final answer
    x = 612.48

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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.