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Finding the Fourth Proportional to 578.59, 867.52 and 213.18

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Solution

The fourth proportional to 578.59, 867.52 and 213.18 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.59 : 867.52 = 213.18 : x
  2. Step 2: Convert to fraction form
    578.59/867.52 = 213.18/x
  3. Step 3: Cross multiply
    578.59x = 867.52 × 213.18
  4. Step 4: Simplify right side
    578.59x = 184,934.93
  5. Step 5: Solve for x
    x = 184,934.93/578.59
  6. Step 6: Final answer
    x = 319.63

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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.