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Finding the Fourth Proportional to 601.27, 829.81 and 339.34

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Solution

The fourth proportional to 601.27, 829.81 and 339.34 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.27 : 829.81 = 339.34 : x
  2. Step 2: Convert to fraction form
    601.27/829.81 = 339.34/x
  3. Step 3: Cross multiply
    601.27x = 829.81 × 339.34
  4. Step 4: Simplify right side
    601.27x = 281,587.73
  5. Step 5: Solve for x
    x = 281,587.73/601.27
  6. Step 6: Final answer
    x = 468.32

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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.