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Finding the Fourth Proportional to 1,446.77, 2,169.41 and 522.09

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Solution

The fourth proportional to 1,446.77, 2,169.41 and 522.09 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.77 : 2,169.41 = 522.09 : x
  2. Step 2: Convert to fraction form
    1,446.77/2,169.41 = 522.09/x
  3. Step 3: Cross multiply
    1,446.77x = 2,169.41 × 522.09
  4. Step 4: Simplify right side
    1,446.77x = 1,132,624.66
  5. Step 5: Solve for x
    x = 1,132,624.66/1,446.77
  6. Step 6: Final answer
    x = 782.87

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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.