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Finding the Fourth Proportional to 702.97, 970.22 and 408.24

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Solution

The fourth proportional to 702.97, 970.22 and 408.24 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.97 : 970.22 = 408.24 : x
  2. Step 2: Convert to fraction form
    702.97/970.22 = 408.24/x
  3. Step 3: Cross multiply
    702.97x = 970.22 × 408.24
  4. Step 4: Simplify right side
    702.97x = 396,083.63
  5. Step 5: Solve for x
    x = 396,083.63/702.97
  6. Step 6: Final answer
    x = 563.45

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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.