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Finding the Fourth Proportional to 601.21, 829.67 and 335.65

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Solution

The fourth proportional to 601.21, 829.67 and 335.65 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 829.67 = 335.65 : x
  2. Step 2: Convert to fraction form
    601.21/829.67 = 335.65/x
  3. Step 3: Cross multiply
    601.21x = 829.67 × 335.65
  4. Step 4: Simplify right side
    601.21x = 278,478.74
  5. Step 5: Solve for x
    x = 278,478.74/601.21
  6. Step 6: Final answer
    x = 463.20

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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.