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Finding the Fourth Proportional to 1,171.43, 1,757.11 and 555.73

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Solution

The fourth proportional to 1,171.43, 1,757.11 and 555.73 is: 833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.43 : 1,757.11 = 555.73 : x
  2. Step 2: Convert to fraction form
    1,171.43/1,757.11 = 555.73/x
  3. Step 3: Cross multiply
    1,171.43x = 1,757.11 × 555.73
  4. Step 4: Simplify right side
    1,171.43x = 976,478.74
  5. Step 5: Solve for x
    x = 976,478.74/1,171.43
  6. Step 6: Final answer
    x = 833.58

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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.