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Finding the Fourth Proportional to 629.08, 867.65 and 380.07

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Solution

The fourth proportional to 629.08, 867.65 and 380.07 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 867.65 = 380.07 : x
  2. Step 2: Convert to fraction form
    629.08/867.65 = 380.07/x
  3. Step 3: Cross multiply
    629.08x = 867.65 × 380.07
  4. Step 4: Simplify right side
    629.08x = 329,765.84
  5. Step 5: Solve for x
    x = 329,765.84/629.08
  6. Step 6: Final answer
    x = 524.21

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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.