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Finding the Fourth Proportional to 630.41, 869.69 and 394.31

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Solution

The fourth proportional to 630.41, 869.69 and 394.31 is: 543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.41 : 869.69 = 394.31 : x
  2. Step 2: Convert to fraction form
    630.41/869.69 = 394.31/x
  3. Step 3: Cross multiply
    630.41x = 869.69 × 394.31
  4. Step 4: Simplify right side
    630.41x = 342,930.62
  5. Step 5: Solve for x
    x = 342,930.62/630.41
  6. Step 6: Final answer
    x = 543.98

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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.