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Finding the Fourth Proportional to 631.97, 872.10 and 352.22

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Solution

The fourth proportional to 631.97, 872.10 and 352.22 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.97 : 872.10 = 352.22 : x
  2. Step 2: Convert to fraction form
    631.97/872.10 = 352.22/x
  3. Step 3: Cross multiply
    631.97x = 872.10 × 352.22
  4. Step 4: Simplify right side
    631.97x = 307,171.61
  5. Step 5: Solve for x
    x = 307,171.61/631.97
  6. Step 6: Final answer
    x = 486.05

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1.5x scale

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.