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Finding the Fourth Proportional to 578.79, 868.14 and 213.57

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Solution

The fourth proportional to 578.79, 868.14 and 213.57 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.79 : 868.14 = 213.57 : x
  2. Step 2: Convert to fraction form
    578.79/868.14 = 213.57/x
  3. Step 3: Cross multiply
    578.79x = 868.14 × 213.57
  4. Step 4: Simplify right side
    578.79x = 185,408.66
  5. Step 5: Solve for x
    x = 185,408.66/578.79
  6. Step 6: Final answer
    x = 320.34

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1.5x scale

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.