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Finding the Fourth Proportional to 1,044.56, 1,575.60 and 984.64

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Solution

The fourth proportional to 1,044.56, 1,575.60 and 984.64 is: 1,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.56 : 1,575.60 = 984.64 : x
  2. Step 2: Convert to fraction form
    1,044.56/1,575.60 = 984.64/x
  3. Step 3: Cross multiply
    1,044.56x = 1,575.60 × 984.64
  4. Step 4: Simplify right side
    1,044.56x = 1,551,398.78
  5. Step 5: Solve for x
    x = 1,551,398.78/1,044.56
  6. Step 6: Final answer
    x = 1,485.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.