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Finding the Fourth Proportional to 591.80, 886.26 and 398.84

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Solution

The fourth proportional to 591.80, 886.26 and 398.84 is: 597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 886.26 = 398.84 : x
  2. Step 2: Convert to fraction form
    591.80/886.26 = 398.84/x
  3. Step 3: Cross multiply
    591.80x = 886.26 × 398.84
  4. Step 4: Simplify right side
    591.80x = 353,475.94
  5. Step 5: Solve for x
    x = 353,475.94/591.80
  6. Step 6: Final answer
    x = 597.29

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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.