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Finding the Fourth Proportional to 600.57, 829.17 and 490.31

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Solution

The fourth proportional to 600.57, 829.17 and 490.31 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.57 : 829.17 = 490.31 : x
  2. Step 2: Convert to fraction form
    600.57/829.17 = 490.31/x
  3. Step 3: Cross multiply
    600.57x = 829.17 × 490.31
  4. Step 4: Simplify right side
    600.57x = 406,546.20
  5. Step 5: Solve for x
    x = 406,546.20/600.57
  6. Step 6: Final answer
    x = 676.93

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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.