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Finding the Fourth Proportional to 609.50, 914.24 and 301.49

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Solution

The fourth proportional to 609.50, 914.24 and 301.49 is: 452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 914.24 = 301.49 : x
  2. Step 2: Convert to fraction form
    609.50/914.24 = 301.49/x
  3. Step 3: Cross multiply
    609.50x = 914.24 × 301.49
  4. Step 4: Simplify right side
    609.50x = 275,637.26
  5. Step 5: Solve for x
    x = 275,637.26/609.50
  6. Step 6: Final answer
    x = 452.24

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Half scale
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Double scale
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Similar ratio
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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.