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Finding the Fourth Proportional to 696.48, 965.60 and 657.60

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Solution

The fourth proportional to 696.48, 965.60 and 657.60 is: 911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 965.60 = 657.60 : x
  2. Step 2: Convert to fraction form
    696.48/965.60 = 657.60/x
  3. Step 3: Cross multiply
    696.48x = 965.60 × 657.60
  4. Step 4: Simplify right side
    696.48x = 634,978.56
  5. Step 5: Solve for x
    x = 634,978.56/696.48
  6. Step 6: Final answer
    x = 911.70

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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.