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Finding the Fourth Proportional to 587.98, 811.41 and 351.97

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Solution

The fourth proportional to 587.98, 811.41 and 351.97 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.98 : 811.41 = 351.97 : x
  2. Step 2: Convert to fraction form
    587.98/811.41 = 351.97/x
  3. Step 3: Cross multiply
    587.98x = 811.41 × 351.97
  4. Step 4: Simplify right side
    587.98x = 285,591.98
  5. Step 5: Solve for x
    x = 285,591.98/587.98
  6. Step 6: Final answer
    x = 485.72

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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.