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Finding the Fourth Proportional to 600.41, 825.90 and 500.78

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Solution

The fourth proportional to 600.41, 825.90 and 500.78 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.41 : 825.90 = 500.78 : x
  2. Step 2: Convert to fraction form
    600.41/825.90 = 500.78/x
  3. Step 3: Cross multiply
    600.41x = 825.90 × 500.78
  4. Step 4: Simplify right side
    600.41x = 413,594.39
  5. Step 5: Solve for x
    x = 413,594.39/600.41
  6. Step 6: Final answer
    x = 688.85

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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.