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Finding the Fourth Proportional to 601.29, 829.82 and 339.31

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Solution

The fourth proportional to 601.29, 829.82 and 339.31 is: 468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 829.82 = 339.31 : x
  2. Step 2: Convert to fraction form
    601.29/829.82 = 339.31/x
  3. Step 3: Cross multiply
    601.29x = 829.82 × 339.31
  4. Step 4: Simplify right side
    601.29x = 281,566.22
  5. Step 5: Solve for x
    x = 281,566.22/601.29
  6. Step 6: Final answer
    x = 468.27

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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.