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Finding the Fourth Proportional to 698.56, 965.28 and 664.82

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Solution

The fourth proportional to 698.56, 965.28 and 664.82 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.56 : 965.28 = 664.82 : x
  2. Step 2: Convert to fraction form
    698.56/965.28 = 664.82/x
  3. Step 3: Cross multiply
    698.56x = 965.28 × 664.82
  4. Step 4: Simplify right side
    698.56x = 641,737.45
  5. Step 5: Solve for x
    x = 641,737.45/698.56
  6. Step 6: Final answer
    x = 918.66

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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.