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Finding the Fourth Proportional to 632.69, 873.11 and 349.11

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Solution

The fourth proportional to 632.69, 873.11 and 349.11 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.69 : 873.11 = 349.11 : x
  2. Step 2: Convert to fraction form
    632.69/873.11 = 349.11/x
  3. Step 3: Cross multiply
    632.69x = 873.11 × 349.11
  4. Step 4: Simplify right side
    632.69x = 304,810.66
  5. Step 5: Solve for x
    x = 304,810.66/632.69
  6. Step 6: Final answer
    x = 481.77

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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.