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Finding the Fourth Proportional to 591.58, 886.76 and 331.70

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Solution

The fourth proportional to 591.58, 886.76 and 331.70 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.58 : 886.76 = 331.70 : x
  2. Step 2: Convert to fraction form
    591.58/886.76 = 331.70/x
  3. Step 3: Cross multiply
    591.58x = 886.76 × 331.70
  4. Step 4: Simplify right side
    591.58x = 294,138.29
  5. Step 5: Solve for x
    x = 294,138.29/591.58
  6. Step 6: Final answer
    x = 497.21

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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.