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Finding the Fourth Proportional to 629.12, 867.72 and 408

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Solution

The fourth proportional to 629.12, 867.72 and 408 is: 562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 867.72 = 408 : x
  2. Step 2: Convert to fraction form
    629.12/867.72 = 408/x
  3. Step 3: Cross multiply
    629.12x = 867.72 × 408
  4. Step 4: Simplify right side
    629.12x = 354,029.76
  5. Step 5: Solve for x
    x = 354,029.76/629.12
  6. Step 6: Final answer
    x = 562.74

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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.