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Finding the Fourth Proportional to 1,044.08, 1,447.44 and 988.60

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Solution

The fourth proportional to 1,044.08, 1,447.44 and 988.60 is: 1,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.08 : 1,447.44 = 988.60 : x
  2. Step 2: Convert to fraction form
    1,044.08/1,447.44 = 988.60/x
  3. Step 3: Cross multiply
    1,044.08x = 1,447.44 × 988.60
  4. Step 4: Simplify right side
    1,044.08x = 1,430,939.18
  5. Step 5: Solve for x
    x = 1,430,939.18/1,044.08
  6. Step 6: Final answer
    x = 1,370.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.