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Finding the Fourth Proportional to 631.77, 872.15 and 379.82

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Solution

The fourth proportional to 631.77, 872.15 and 379.82 is: 524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.77 : 872.15 = 379.82 : x
  2. Step 2: Convert to fraction form
    631.77/872.15 = 379.82/x
  3. Step 3: Cross multiply
    631.77x = 872.15 × 379.82
  4. Step 4: Simplify right side
    631.77x = 331,260.01
  5. Step 5: Solve for x
    x = 331,260.01/631.77
  6. Step 6: Final answer
    x = 524.34

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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.