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Finding the Fourth Proportional to 584.06, 875.41 and 218.61

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Solution

The fourth proportional to 584.06, 875.41 and 218.61 is: 327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 875.41 = 218.61 : x
  2. Step 2: Convert to fraction form
    584.06/875.41 = 218.61/x
  3. Step 3: Cross multiply
    584.06x = 875.41 × 218.61
  4. Step 4: Simplify right side
    584.06x = 191,372.83
  5. Step 5: Solve for x
    x = 191,372.83/584.06
  6. Step 6: Final answer
    x = 327.66

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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.