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Finding the Fourth Proportional to 697.69, 963.29 and 537.92

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Solution

The fourth proportional to 697.69, 963.29 and 537.92 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 963.29 = 537.92 : x
  2. Step 2: Convert to fraction form
    697.69/963.29 = 537.92/x
  3. Step 3: Cross multiply
    697.69x = 963.29 × 537.92
  4. Step 4: Simplify right side
    697.69x = 518,172.96
  5. Step 5: Solve for x
    x = 518,172.96/697.69
  6. Step 6: Final answer
    x = 742.70

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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.