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Finding the Fourth Proportional to 601.16, 829.58 and 349.11

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Solution

The fourth proportional to 601.16, 829.58 and 349.11 is: 481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 829.58 = 349.11 : x
  2. Step 2: Convert to fraction form
    601.16/829.58 = 349.11/x
  3. Step 3: Cross multiply
    601.16x = 829.58 × 349.11
  4. Step 4: Simplify right side
    601.16x = 289,612.93
  5. Step 5: Solve for x
    x = 289,612.93/601.16
  6. Step 6: Final answer
    x = 481.76

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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.