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Finding the Fourth Proportional to 629.19, 867.75 and 405.16

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Solution

The fourth proportional to 629.19, 867.75 and 405.16 is: 558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.19 : 867.75 = 405.16 : x
  2. Step 2: Convert to fraction form
    629.19/867.75 = 405.16/x
  3. Step 3: Cross multiply
    629.19x = 867.75 × 405.16
  4. Step 4: Simplify right side
    629.19x = 351,577.59
  5. Step 5: Solve for x
    x = 351,577.59/629.19
  6. Step 6: Final answer
    x = 558.78

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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.