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Finding the Fourth Proportional to 1,300.44, 1,948.14 and 1,041

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Solution

The fourth proportional to 1,300.44, 1,948.14 and 1,041 is: 1,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.44 : 1,948.14 = 1,041 : x
  2. Step 2: Convert to fraction form
    1,300.44/1,948.14 = 1,041/x
  3. Step 3: Cross multiply
    1,300.44x = 1,948.14 × 1,041
  4. Step 4: Simplify right side
    1,300.44x = 2,028,013.74
  5. Step 5: Solve for x
    x = 2,028,013.74/1,300.44
  6. Step 6: Final answer
    x = 1,559.48

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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.