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Finding the Fourth Proportional to 702.22, 968.98 and 422.46

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Solution

The fourth proportional to 702.22, 968.98 and 422.46 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.22 : 968.98 = 422.46 : x
  2. Step 2: Convert to fraction form
    702.22/968.98 = 422.46/x
  3. Step 3: Cross multiply
    702.22x = 968.98 × 422.46
  4. Step 4: Simplify right side
    702.22x = 409,355.29
  5. Step 5: Solve for x
    x = 409,355.29/702.22
  6. Step 6: Final answer
    x = 582.94

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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.