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Finding the Fourth Proportional to 609.63, 914.13 and 219.57

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Solution

The fourth proportional to 609.63, 914.13 and 219.57 is: 329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.63 : 914.13 = 219.57 : x
  2. Step 2: Convert to fraction form
    609.63/914.13 = 219.57/x
  3. Step 3: Cross multiply
    609.63x = 914.13 × 219.57
  4. Step 4: Simplify right side
    609.63x = 200,715.52
  5. Step 5: Solve for x
    x = 200,715.52/609.63
  6. Step 6: Final answer
    x = 329.24

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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.