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Finding the Fourth Proportional to 629.82, 867.78 and 433.08

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Solution

The fourth proportional to 629.82, 867.78 and 433.08 is: 596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.82 : 867.78 = 433.08 : x
  2. Step 2: Convert to fraction form
    629.82/867.78 = 433.08/x
  3. Step 3: Cross multiply
    629.82x = 867.78 × 433.08
  4. Step 4: Simplify right side
    629.82x = 375,818.16
  5. Step 5: Solve for x
    x = 375,818.16/629.82
  6. Step 6: Final answer
    x = 596.71

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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.