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Finding the Fourth Proportional to 702.75, 969.69 and 408.09

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Solution

The fourth proportional to 702.75, 969.69 and 408.09 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.75 : 969.69 = 408.09 : x
  2. Step 2: Convert to fraction form
    702.75/969.69 = 408.09/x
  3. Step 3: Cross multiply
    702.75x = 969.69 × 408.09
  4. Step 4: Simplify right side
    702.75x = 395,720.79
  5. Step 5: Solve for x
    x = 395,720.79/702.75
  6. Step 6: Final answer
    x = 563.10

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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.