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Finding the Fourth Proportional to 646.59, 969.65 and 235.63

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Solution

The fourth proportional to 646.59, 969.65 and 235.63 is: 353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 969.65 = 235.63 : x
  2. Step 2: Convert to fraction form
    646.59/969.65 = 235.63/x
  3. Step 3: Cross multiply
    646.59x = 969.65 × 235.63
  4. Step 4: Simplify right side
    646.59x = 228,478.63
  5. Step 5: Solve for x
    x = 228,478.63/646.59
  6. Step 6: Final answer
    x = 353.36

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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.