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Finding the Fourth Proportional to 702.05, 968.79 and 422.22

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Solution

The fourth proportional to 702.05, 968.79 and 422.22 is: 582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.05 : 968.79 = 422.22 : x
  2. Step 2: Convert to fraction form
    702.05/968.79 = 422.22/x
  3. Step 3: Cross multiply
    702.05x = 968.79 × 422.22
  4. Step 4: Simplify right side
    702.05x = 409,042.51
  5. Step 5: Solve for x
    x = 409,042.51/702.05
  6. Step 6: Final answer
    x = 582.64

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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.