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Finding the Fourth Proportional to 1,297.43, 1,944.88 and 557.23

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Solution

The fourth proportional to 1,297.43, 1,944.88 and 557.23 is: 835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.43 : 1,944.88 = 557.23 : x
  2. Step 2: Convert to fraction form
    1,297.43/1,944.88 = 557.23/x
  3. Step 3: Cross multiply
    1,297.43x = 1,944.88 × 557.23
  4. Step 4: Simplify right side
    1,297.43x = 1,083,745.48
  5. Step 5: Solve for x
    x = 1,083,745.48/1,297.43
  6. Step 6: Final answer
    x = 835.30

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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.