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Finding the Fourth Proportional to 591.66, 888.30 and 408.60

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Solution

The fourth proportional to 591.66, 888.30 and 408.60 is: 613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 888.30 = 408.60 : x
  2. Step 2: Convert to fraction form
    591.66/888.30 = 408.60/x
  3. Step 3: Cross multiply
    591.66x = 888.30 × 408.60
  4. Step 4: Simplify right side
    591.66x = 362,959.38
  5. Step 5: Solve for x
    x = 362,959.38/591.66
  6. Step 6: Final answer
    x = 613.46

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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.