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Finding the Fourth Proportional to 609.42, 914.13 and 320.25

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Solution

The fourth proportional to 609.42, 914.13 and 320.25 is: 480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 914.13 = 320.25 : x
  2. Step 2: Convert to fraction form
    609.42/914.13 = 320.25/x
  3. Step 3: Cross multiply
    609.42x = 914.13 × 320.25
  4. Step 4: Simplify right side
    609.42x = 292,750.13
  5. Step 5: Solve for x
    x = 292,750.13/609.42
  6. Step 6: Final answer
    x = 480.38

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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.