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Finding the Fourth Proportional to 629.05, 942 and 397.24

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Solution

The fourth proportional to 629.05, 942 and 397.24 is: 594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.05 : 942 = 397.24 : x
  2. Step 2: Convert to fraction form
    629.05/942 = 397.24/x
  3. Step 3: Cross multiply
    629.05x = 942 × 397.24
  4. Step 4: Simplify right side
    629.05x = 374,197.73
  5. Step 5: Solve for x
    x = 374,197.73/629.05
  6. Step 6: Final answer
    x = 594.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.