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Finding the Fourth Proportional to 1,227.53, 1,842.86 and 741.53

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Solution

The fourth proportional to 1,227.53, 1,842.86 and 741.53 is: 1,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.53 : 1,842.86 = 741.53 : x
  2. Step 2: Convert to fraction form
    1,227.53/1,842.86 = 741.53/x
  3. Step 3: Cross multiply
    1,227.53x = 1,842.86 × 741.53
  4. Step 4: Simplify right side
    1,227.53x = 1,366,532.27
  5. Step 5: Solve for x
    x = 1,366,532.27/1,227.53
  6. Step 6: Final answer
    x = 1,113.24

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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.