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Finding the Fourth Proportional to 601.14, 829.61 and 339.11

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Solution

The fourth proportional to 601.14, 829.61 and 339.11 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.61 = 339.11 : x
  2. Step 2: Convert to fraction form
    601.14/829.61 = 339.11/x
  3. Step 3: Cross multiply
    601.14x = 829.61 × 339.11
  4. Step 4: Simplify right side
    601.14x = 281,329.05
  5. Step 5: Solve for x
    x = 281,329.05/601.14
  6. Step 6: Final answer
    x = 467.99

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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.