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Finding the Fourth Proportional to 512.65, 769.26 and 293.56

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Solution

The fourth proportional to 512.65, 769.26 and 293.56 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 769.26 = 293.56 : x
  2. Step 2: Convert to fraction form
    512.65/769.26 = 293.56/x
  3. Step 3: Cross multiply
    512.65x = 769.26 × 293.56
  4. Step 4: Simplify right side
    512.65x = 225,823.97
  5. Step 5: Solve for x
    x = 225,823.97/512.65
  6. Step 6: Final answer
    x = 440.50

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Double scale
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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.