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Finding the Fourth Proportional to 702.92, 970.03 and 408.21

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Solution

The fourth proportional to 702.92, 970.03 and 408.21 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.92 : 970.03 = 408.21 : x
  2. Step 2: Convert to fraction form
    702.92/970.03 = 408.21/x
  3. Step 3: Cross multiply
    702.92x = 970.03 × 408.21
  4. Step 4: Simplify right side
    702.92x = 395,975.95
  5. Step 5: Solve for x
    x = 395,975.95/702.92
  6. Step 6: Final answer
    x = 563.33

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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.