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Finding the Fourth Proportional to 513.30, 769.11 and 320.52

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Solution

The fourth proportional to 513.30, 769.11 and 320.52 is: 480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.30 : 769.11 = 320.52 : x
  2. Step 2: Convert to fraction form
    513.30/769.11 = 320.52/x
  3. Step 3: Cross multiply
    513.30x = 769.11 × 320.52
  4. Step 4: Simplify right side
    513.30x = 246,515.14
  5. Step 5: Solve for x
    x = 246,515.14/513.30
  6. Step 6: Final answer
    x = 480.26

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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.