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Finding the Fourth Proportional to 1,044.36, 1,438.07 and 749.12

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Solution

The fourth proportional to 1,044.36, 1,438.07 and 749.12 is: 1,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.36 : 1,438.07 = 749.12 : x
  2. Step 2: Convert to fraction form
    1,044.36/1,438.07 = 749.12/x
  3. Step 3: Cross multiply
    1,044.36x = 1,438.07 × 749.12
  4. Step 4: Simplify right side
    1,044.36x = 1,077,276.06
  5. Step 5: Solve for x
    x = 1,077,276.06/1,044.36
  6. Step 6: Final answer
    x = 1,031.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.