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Finding the Fourth Proportional to 1,171.44, 1,755.95 and 522.23

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Solution

The fourth proportional to 1,171.44, 1,755.95 and 522.23 is: 782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.44 : 1,755.95 = 522.23 : x
  2. Step 2: Convert to fraction form
    1,171.44/1,755.95 = 522.23/x
  3. Step 3: Cross multiply
    1,171.44x = 1,755.95 × 522.23
  4. Step 4: Simplify right side
    1,171.44x = 916,998.38
  5. Step 5: Solve for x
    x = 916,998.38/1,171.44
  6. Step 6: Final answer
    x = 782.80

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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.