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Finding the Fourth Proportional to 601.32, 829.63 and 339.29

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Solution

The fourth proportional to 601.32, 829.63 and 339.29 is: 468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.32 : 829.63 = 339.29 : x
  2. Step 2: Convert to fraction form
    601.32/829.63 = 339.29/x
  3. Step 3: Cross multiply
    601.32x = 829.63 × 339.29
  4. Step 4: Simplify right side
    601.32x = 281,481.01
  5. Step 5: Solve for x
    x = 281,481.01/601.32
  6. Step 6: Final answer
    x = 468.11

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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.