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Finding the Fourth Proportional to 702.87, 970.17 and 408.27

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Solution

The fourth proportional to 702.87, 970.17 and 408.27 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.87 : 970.17 = 408.27 : x
  2. Step 2: Convert to fraction form
    702.87/970.17 = 408.27/x
  3. Step 3: Cross multiply
    702.87x = 970.17 × 408.27
  4. Step 4: Simplify right side
    702.87x = 396,091.31
  5. Step 5: Solve for x
    x = 396,091.31/702.87
  6. Step 6: Final answer
    x = 563.53

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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.