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Finding the Fourth Proportional to 631.68, 869.78 and 482.45

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Solution

The fourth proportional to 631.68, 869.78 and 482.45 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 869.78 = 482.45 : x
  2. Step 2: Convert to fraction form
    631.68/869.78 = 482.45/x
  3. Step 3: Cross multiply
    631.68x = 869.78 × 482.45
  4. Step 4: Simplify right side
    631.68x = 419,618.60
  5. Step 5: Solve for x
    x = 419,618.60/631.68
  6. Step 6: Final answer
    x = 664.29

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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.