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Finding the Fourth Proportional to 701.21, 968.77 and 480.80

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Solution

The fourth proportional to 701.21, 968.77 and 480.80 is: 664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 968.77 = 480.80 : x
  2. Step 2: Convert to fraction form
    701.21/968.77 = 480.80/x
  3. Step 3: Cross multiply
    701.21x = 968.77 × 480.80
  4. Step 4: Simplify right side
    701.21x = 465,784.23
  5. Step 5: Solve for x
    x = 465,784.23/701.21
  6. Step 6: Final answer
    x = 664.26

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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.