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Finding the Fourth Proportional to 629.98, 869.80 and 394.02

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Solution

The fourth proportional to 629.98, 869.80 and 394.02 is: 544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 869.80 = 394.02 : x
  2. Step 2: Convert to fraction form
    629.98/869.80 = 394.02/x
  3. Step 3: Cross multiply
    629.98x = 869.80 × 394.02
  4. Step 4: Simplify right side
    629.98x = 342,718.60
  5. Step 5: Solve for x
    x = 342,718.60/629.98
  6. Step 6: Final answer
    x = 544.02

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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.