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Finding the Fourth Proportional to 701.60, 968.22 and 421.79

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Solution

The fourth proportional to 701.60, 968.22 and 421.79 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.60 : 968.22 = 421.79 : x
  2. Step 2: Convert to fraction form
    701.60/968.22 = 421.79/x
  3. Step 3: Cross multiply
    701.60x = 968.22 × 421.79
  4. Step 4: Simplify right side
    701.60x = 408,385.51
  5. Step 5: Solve for x
    x = 408,385.51/701.60
  6. Step 6: Final answer
    x = 582.08

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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.