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Finding the Fourth Proportional to 1,180.55, 1,771.23 and 741.27

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Solution

The fourth proportional to 1,180.55, 1,771.23 and 741.27 is: 1,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.55 : 1,771.23 = 741.27 : x
  2. Step 2: Convert to fraction form
    1,180.55/1,771.23 = 741.27/x
  3. Step 3: Cross multiply
    1,180.55x = 1,771.23 × 741.27
  4. Step 4: Simplify right side
    1,180.55x = 1,312,959.66
  5. Step 5: Solve for x
    x = 1,312,959.66/1,180.55
  6. Step 6: Final answer
    x = 1,112.16

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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.