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Finding the Fourth Proportional to 591.82, 888.33 and 408.58

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Solution

The fourth proportional to 591.82, 888.33 and 408.58 is: 613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 888.33 = 408.58 : x
  2. Step 2: Convert to fraction form
    591.82/888.33 = 408.58/x
  3. Step 3: Cross multiply
    591.82x = 888.33 × 408.58
  4. Step 4: Simplify right side
    591.82x = 362,953.87
  5. Step 5: Solve for x
    x = 362,953.87/591.82
  6. Step 6: Final answer
    x = 613.28

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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.