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Finding the Fourth Proportional to 600.78, 828.52 and 379.35

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Solution

The fourth proportional to 600.78, 828.52 and 379.35 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 828.52 = 379.35 : x
  2. Step 2: Convert to fraction form
    600.78/828.52 = 379.35/x
  3. Step 3: Cross multiply
    600.78x = 828.52 × 379.35
  4. Step 4: Simplify right side
    600.78x = 314,294.92
  5. Step 5: Solve for x
    x = 314,294.92/600.78
  6. Step 6: Final answer
    x = 523.14

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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.