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Finding the Fourth Proportional to 600.48, 829.79 and 452.85

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Solution

The fourth proportional to 600.48, 829.79 and 452.85 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.48 : 829.79 = 452.85 : x
  2. Step 2: Convert to fraction form
    600.48/829.79 = 452.85/x
  3. Step 3: Cross multiply
    600.48x = 829.79 × 452.85
  4. Step 4: Simplify right side
    600.48x = 375,770.40
  5. Step 5: Solve for x
    x = 375,770.40/600.48
  6. Step 6: Final answer
    x = 625.78

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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.