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Finding the Fourth Proportional to 587.91, 880.26 and 381.97

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Solution

The fourth proportional to 587.91, 880.26 and 381.97 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.91 : 880.26 = 381.97 : x
  2. Step 2: Convert to fraction form
    587.91/880.26 = 381.97/x
  3. Step 3: Cross multiply
    587.91x = 880.26 × 381.97
  4. Step 4: Simplify right side
    587.91x = 336,228.51
  5. Step 5: Solve for x
    x = 336,228.51/587.91
  6. Step 6: Final answer
    x = 571.90

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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.