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Finding the Fourth Proportional to 713.60, 982.80 and 662.57

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Solution

The fourth proportional to 713.60, 982.80 and 662.57 is: 912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 982.80 = 662.57 : x
  2. Step 2: Convert to fraction form
    713.60/982.80 = 662.57/x
  3. Step 3: Cross multiply
    713.60x = 982.80 × 662.57
  4. Step 4: Simplify right side
    713.60x = 651,170.48
  5. Step 5: Solve for x
    x = 651,170.48/713.60
  6. Step 6: Final answer
    x = 912.51

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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.