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Finding the Fourth Proportional to 512.82, 769.23 and 128.07

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Solution

The fourth proportional to 512.82, 769.23 and 128.07 is: 192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 769.23 = 128.07 : x
  2. Step 2: Convert to fraction form
    512.82/769.23 = 128.07/x
  3. Step 3: Cross multiply
    512.82x = 769.23 × 128.07
  4. Step 4: Simplify right side
    512.82x = 98,515.29
  5. Step 5: Solve for x
    x = 98,515.29/512.82
  6. Step 6: Final answer
    x = 192.11

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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.