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Finding the Fourth Proportional to 708.76, 982.57 and 664.60

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Solution

The fourth proportional to 708.76, 982.57 and 664.60 is: 921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 982.57 = 664.60 : x
  2. Step 2: Convert to fraction form
    708.76/982.57 = 664.60/x
  3. Step 3: Cross multiply
    708.76x = 982.57 × 664.60
  4. Step 4: Simplify right side
    708.76x = 653,016.02
  5. Step 5: Solve for x
    x = 653,016.02/708.76
  6. Step 6: Final answer
    x = 921.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.