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Finding the Fourth Proportional to 587.33, 880.43 and 327.46

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Solution

The fourth proportional to 587.33, 880.43 and 327.46 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.33 : 880.43 = 327.46 : x
  2. Step 2: Convert to fraction form
    587.33/880.43 = 327.46/x
  3. Step 3: Cross multiply
    587.33x = 880.43 × 327.46
  4. Step 4: Simplify right side
    587.33x = 288,301.77
  5. Step 5: Solve for x
    x = 288,301.77/587.33
  6. Step 6: Final answer
    x = 490.87

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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.