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Finding the Fourth Proportional to 601.11, 829.40 and 339.03

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Solution

The fourth proportional to 601.11, 829.40 and 339.03 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.11 : 829.40 = 339.03 : x
  2. Step 2: Convert to fraction form
    601.11/829.40 = 339.03/x
  3. Step 3: Cross multiply
    601.11x = 829.40 × 339.03
  4. Step 4: Simplify right side
    601.11x = 281,189.79
  5. Step 5: Solve for x
    x = 281,189.79/601.11
  6. Step 6: Final answer
    x = 467.78

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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.