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Finding the Fourth Proportional to 629.08, 867.62 and 380.14

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Solution

The fourth proportional to 629.08, 867.62 and 380.14 is: 524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 867.62 = 380.14 : x
  2. Step 2: Convert to fraction form
    629.08/867.62 = 380.14/x
  3. Step 3: Cross multiply
    629.08x = 867.62 × 380.14
  4. Step 4: Simplify right side
    629.08x = 329,817.07
  5. Step 5: Solve for x
    x = 329,817.07/629.08
  6. Step 6: Final answer
    x = 524.28

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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.