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Finding the Fourth Proportional to 629.03, 867.71 and 380.27

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Solution

The fourth proportional to 629.03, 867.71 and 380.27 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.03 : 867.71 = 380.27 : x
  2. Step 2: Convert to fraction form
    629.03/867.71 = 380.27/x
  3. Step 3: Cross multiply
    629.03x = 867.71 × 380.27
  4. Step 4: Simplify right side
    629.03x = 329,962.18
  5. Step 5: Solve for x
    x = 329,962.18/629.03
  6. Step 6: Final answer
    x = 524.56

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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.