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Finding the Fourth Proportional to 601.42, 829.86 and 339.46

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Solution

The fourth proportional to 601.42, 829.86 and 339.46 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.42 : 829.86 = 339.46 : x
  2. Step 2: Convert to fraction form
    601.42/829.86 = 339.46/x
  3. Step 3: Cross multiply
    601.42x = 829.86 × 339.46
  4. Step 4: Simplify right side
    601.42x = 281,704.28
  5. Step 5: Solve for x
    x = 281,704.28/601.42
  6. Step 6: Final answer
    x = 468.40

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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.