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Finding the Fourth Proportional to 1,049.26, 1,574.16 and 741.72

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Solution

The fourth proportional to 1,049.26, 1,574.16 and 741.72 is: 1,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.26 : 1,574.16 = 741.72 : x
  2. Step 2: Convert to fraction form
    1,049.26/1,574.16 = 741.72/x
  3. Step 3: Cross multiply
    1,049.26x = 1,574.16 × 741.72
  4. Step 4: Simplify right side
    1,049.26x = 1,167,585.96
  5. Step 5: Solve for x
    x = 1,167,585.96/1,049.26
  6. Step 6: Final answer
    x = 1,112.77

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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.