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Finding the Fourth Proportional to 707.62, 1,061.90 and 269.27

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Solution

The fourth proportional to 707.62, 1,061.90 and 269.27 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.62 : 1,061.90 = 269.27 : x
  2. Step 2: Convert to fraction form
    707.62/1,061.90 = 269.27/x
  3. Step 3: Cross multiply
    707.62x = 1,061.90 × 269.27
  4. Step 4: Simplify right side
    707.62x = 285,942.88
  5. Step 5: Solve for x
    x = 285,942.88/707.62
  6. Step 6: Final answer
    x = 404.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.