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Finding the Fourth Proportional to 600.18, 828.32 and 338.19

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Solution

The fourth proportional to 600.18, 828.32 and 338.19 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.18 : 828.32 = 338.19 : x
  2. Step 2: Convert to fraction form
    600.18/828.32 = 338.19/x
  3. Step 3: Cross multiply
    600.18x = 828.32 × 338.19
  4. Step 4: Simplify right side
    600.18x = 280,127.85
  5. Step 5: Solve for x
    x = 280,127.85/600.18
  6. Step 6: Final answer
    x = 466.74

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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.