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Finding the Fourth Proportional to 600.19, 828.26 and 338.20

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Solution

The fourth proportional to 600.19, 828.26 and 338.20 is: 466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 828.26 = 338.20 : x
  2. Step 2: Convert to fraction form
    600.19/828.26 = 338.20/x
  3. Step 3: Cross multiply
    600.19x = 828.26 × 338.20
  4. Step 4: Simplify right side
    600.19x = 280,117.53
  5. Step 5: Solve for x
    x = 280,117.53/600.19
  6. Step 6: Final answer
    x = 466.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.