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Finding the Fourth Proportional to 600.66, 828.96 and 338.72

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Solution

The fourth proportional to 600.66, 828.96 and 338.72 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.66 : 828.96 = 338.72 : x
  2. Step 2: Convert to fraction form
    600.66/828.96 = 338.72/x
  3. Step 3: Cross multiply
    600.66x = 828.96 × 338.72
  4. Step 4: Simplify right side
    600.66x = 280,787.40
  5. Step 5: Solve for x
    x = 280,787.40/600.66
  6. Step 6: Final answer
    x = 467.46

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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.