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Finding the Fourth Proportional to 587.08, 879.98 and 381.79

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Solution

The fourth proportional to 587.08, 879.98 and 381.79 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.08 : 879.98 = 381.79 : x
  2. Step 2: Convert to fraction form
    587.08/879.98 = 381.79/x
  3. Step 3: Cross multiply
    587.08x = 879.98 × 381.79
  4. Step 4: Simplify right side
    587.08x = 335,965.66
  5. Step 5: Solve for x
    x = 335,965.66/587.08
  6. Step 6: Final answer
    x = 572.27

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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.