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Finding the Fourth Proportional to 600.89, 829.17 and 352.18

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Solution

The fourth proportional to 600.89, 829.17 and 352.18 is: 485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 829.17 = 352.18 : x
  2. Step 2: Convert to fraction form
    600.89/829.17 = 352.18/x
  3. Step 3: Cross multiply
    600.89x = 829.17 × 352.18
  4. Step 4: Simplify right side
    600.89x = 292,017.09
  5. Step 5: Solve for x
    x = 292,017.09/600.89
  6. Step 6: Final answer
    x = 485.97

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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.