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Finding the Fourth Proportional to 591.75, 887.31 and 406.86

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Solution

The fourth proportional to 591.75, 887.31 and 406.86 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.75 : 887.31 = 406.86 : x
  2. Step 2: Convert to fraction form
    591.75/887.31 = 406.86/x
  3. Step 3: Cross multiply
    591.75x = 887.31 × 406.86
  4. Step 4: Simplify right side
    591.75x = 361,010.95
  5. Step 5: Solve for x
    x = 361,010.95/591.75
  6. Step 6: Final answer
    x = 610.07

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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.