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Finding the Fourth Proportional to 600.38, 828.43 and 351.66

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Solution

The fourth proportional to 600.38, 828.43 and 351.66 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 828.43 = 351.66 : x
  2. Step 2: Convert to fraction form
    600.38/828.43 = 351.66/x
  3. Step 3: Cross multiply
    600.38x = 828.43 × 351.66
  4. Step 4: Simplify right side
    600.38x = 291,323.26
  5. Step 5: Solve for x
    x = 291,323.26/600.38
  6. Step 6: Final answer
    x = 485.23

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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.