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Finding the Fourth Proportional to 646.18, 969.54 and 261.70

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Solution

The fourth proportional to 646.18, 969.54 and 261.70 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 969.54 = 261.70 : x
  2. Step 2: Convert to fraction form
    646.18/969.54 = 261.70/x
  3. Step 3: Cross multiply
    646.18x = 969.54 × 261.70
  4. Step 4: Simplify right side
    646.18x = 253,725.21
  5. Step 5: Solve for x
    x = 253,725.21/646.18
  6. Step 6: Final answer
    x = 392.66

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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.