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Finding the Fourth Proportional to 600.89, 829.10 and 352.28

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Solution

The fourth proportional to 600.89, 829.10 and 352.28 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 829.10 = 352.28 : x
  2. Step 2: Convert to fraction form
    600.89/829.10 = 352.28/x
  3. Step 3: Cross multiply
    600.89x = 829.10 × 352.28
  4. Step 4: Simplify right side
    600.89x = 292,078.30
  5. Step 5: Solve for x
    x = 292,078.30/600.89
  6. Step 6: Final answer
    x = 486.08

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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.