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Finding the Fourth Proportional to 701.76, 972.84 and 657.60

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Solution

The fourth proportional to 701.76, 972.84 and 657.60 is: 911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.76 : 972.84 = 657.60 : x
  2. Step 2: Convert to fraction form
    701.76/972.84 = 657.60/x
  3. Step 3: Cross multiply
    701.76x = 972.84 × 657.60
  4. Step 4: Simplify right side
    701.76x = 639,739.58
  5. Step 5: Solve for x
    x = 639,739.58/701.76
  6. Step 6: Final answer
    x = 911.62

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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.