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Finding the Fourth Proportional to 698.42, 962.61 and 523.46

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Solution

The fourth proportional to 698.42, 962.61 and 523.46 is: 721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 962.61 = 523.46 : x
  2. Step 2: Convert to fraction form
    698.42/962.61 = 523.46/x
  3. Step 3: Cross multiply
    698.42x = 962.61 × 523.46
  4. Step 4: Simplify right side
    698.42x = 503,887.83
  5. Step 5: Solve for x
    x = 503,887.83/698.42
  6. Step 6: Final answer
    x = 721.47

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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.