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Finding the Fourth Proportional to 561.72, 843 and 219.72

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Solution

The fourth proportional to 561.72, 843 and 219.72 is: 329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 843 = 219.72 : x
  2. Step 2: Convert to fraction form
    561.72/843 = 219.72/x
  3. Step 3: Cross multiply
    561.72x = 843 × 219.72
  4. Step 4: Simplify right side
    561.72x = 185,223.96
  5. Step 5: Solve for x
    x = 185,223.96/561.72
  6. Step 6: Final answer
    x = 329.74

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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.