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Finding the Fourth Proportional to 591.30, 884.89 and 406.25

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Solution

The fourth proportional to 591.30, 884.89 and 406.25 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 884.89 = 406.25 : x
  2. Step 2: Convert to fraction form
    591.30/884.89 = 406.25/x
  3. Step 3: Cross multiply
    591.30x = 884.89 × 406.25
  4. Step 4: Simplify right side
    591.30x = 359,486.56
  5. Step 5: Solve for x
    x = 359,486.56/591.30
  6. Step 6: Final answer
    x = 607.96

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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.