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Finding the Fourth Proportional to 698.88, 965.10 and 523.92

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Solution

The fourth proportional to 698.88, 965.10 and 523.92 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.88 : 965.10 = 523.92 : x
  2. Step 2: Convert to fraction form
    698.88/965.10 = 523.92/x
  3. Step 3: Cross multiply
    698.88x = 965.10 × 523.92
  4. Step 4: Simplify right side
    698.88x = 505,635.19
  5. Step 5: Solve for x
    x = 505,635.19/698.88
  6. Step 6: Final answer
    x = 723.49

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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.