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Finding the Fourth Proportional to 698.60, 965.40 and 523.64

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Solution

The fourth proportional to 698.60, 965.40 and 523.64 is: 723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 965.40 = 523.64 : x
  2. Step 2: Convert to fraction form
    698.60/965.40 = 523.64/x
  3. Step 3: Cross multiply
    698.60x = 965.40 × 523.64
  4. Step 4: Simplify right side
    698.60x = 505,522.06
  5. Step 5: Solve for x
    x = 505,522.06/698.60
  6. Step 6: Final answer
    x = 723.62

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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.