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Finding the Fourth Proportional to 629.06, 867.80 and 408.08

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Solution

The fourth proportional to 629.06, 867.80 and 408.08 is: 562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.06 : 867.80 = 408.08 : x
  2. Step 2: Convert to fraction form
    629.06/867.80 = 408.08/x
  3. Step 3: Cross multiply
    629.06x = 867.80 × 408.08
  4. Step 4: Simplify right side
    629.06x = 354,131.82
  5. Step 5: Solve for x
    x = 354,131.82/629.06
  6. Step 6: Final answer
    x = 562.95

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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.