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Finding the Fourth Proportional to 646.91, 969.79 and 235.97

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Solution

The fourth proportional to 646.91, 969.79 and 235.97 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.91 : 969.79 = 235.97 : x
  2. Step 2: Convert to fraction form
    646.91/969.79 = 235.97/x
  3. Step 3: Cross multiply
    646.91x = 969.79 × 235.97
  4. Step 4: Simplify right side
    646.91x = 228,841.35
  5. Step 5: Solve for x
    x = 228,841.35/646.91
  6. Step 6: Final answer
    x = 353.75

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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.