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Finding the Fourth Proportional to 513.06, 769.56 and 128.31

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Solution

The fourth proportional to 513.06, 769.56 and 128.31 is: 192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 769.56 = 128.31 : x
  2. Step 2: Convert to fraction form
    513.06/769.56 = 128.31/x
  3. Step 3: Cross multiply
    513.06x = 769.56 × 128.31
  4. Step 4: Simplify right side
    513.06x = 98,742.24
  5. Step 5: Solve for x
    x = 98,742.24/513.06
  6. Step 6: Final answer
    x = 192.46

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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.