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Finding the Fourth Proportional to 1,172.22, 1,757.57 and 556.22

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Solution

The fourth proportional to 1,172.22, 1,757.57 and 556.22 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.22 : 1,757.57 = 556.22 : x
  2. Step 2: Convert to fraction form
    1,172.22/1,757.57 = 556.22/x
  3. Step 3: Cross multiply
    1,172.22x = 1,757.57 × 556.22
  4. Step 4: Simplify right side
    1,172.22x = 977,584.02
  5. Step 5: Solve for x
    x = 977,584.02/1,172.22
  6. Step 6: Final answer
    x = 833.96

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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.