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Finding the Fourth Proportional to 600.43, 828.65 and 338.50

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Solution

The fourth proportional to 600.43, 828.65 and 338.50 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.43 : 828.65 = 338.50 : x
  2. Step 2: Convert to fraction form
    600.43/828.65 = 338.50/x
  3. Step 3: Cross multiply
    600.43x = 828.65 × 338.50
  4. Step 4: Simplify right side
    600.43x = 280,492.19
  5. Step 5: Solve for x
    x = 280,492.19/600.43
  6. Step 6: Final answer
    x = 467.15

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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.