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Finding the Fourth Proportional to 631.94, 872.12 and 352.13

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Solution

The fourth proportional to 631.94, 872.12 and 352.13 is: 485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.94 : 872.12 = 352.13 : x
  2. Step 2: Convert to fraction form
    631.94/872.12 = 352.13/x
  3. Step 3: Cross multiply
    631.94x = 872.12 × 352.13
  4. Step 4: Simplify right side
    631.94x = 307,102.21
  5. Step 5: Solve for x
    x = 307,102.21/631.94
  6. Step 6: Final answer
    x = 485.97

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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.