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Finding the Fourth Proportional to 600.78, 828.18 and 367.50

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Solution

The fourth proportional to 600.78, 828.18 and 367.50 is: 506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 828.18 = 367.50 : x
  2. Step 2: Convert to fraction form
    600.78/828.18 = 367.50/x
  3. Step 3: Cross multiply
    600.78x = 828.18 × 367.50
  4. Step 4: Simplify right side
    600.78x = 304,356.15
  5. Step 5: Solve for x
    x = 304,356.15/600.78
  6. Step 6: Final answer
    x = 506.60

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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.