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Finding the Fourth Proportional to 551.98, 762.06 and 331

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Solution

The fourth proportional to 551.98, 762.06 and 331 is: 456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.98 : 762.06 = 331 : x
  2. Step 2: Convert to fraction form
    551.98/762.06 = 331/x
  3. Step 3: Cross multiply
    551.98x = 762.06 × 331
  4. Step 4: Simplify right side
    551.98x = 252,241.86
  5. Step 5: Solve for x
    x = 252,241.86/551.98
  6. Step 6: Final answer
    x = 456.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.