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Finding the Fourth Proportional to 609.50, 914.28 and 365.49

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Solution

The fourth proportional to 609.50, 914.28 and 365.49 is: 548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 914.28 = 365.49 : x
  2. Step 2: Convert to fraction form
    609.50/914.28 = 365.49/x
  3. Step 3: Cross multiply
    609.50x = 914.28 × 365.49
  4. Step 4: Simplify right side
    609.50x = 334,160.20
  5. Step 5: Solve for x
    x = 334,160.20/609.50
  6. Step 6: Final answer
    x = 548.25

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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.