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Finding the Fourth Proportional to 999.52, 1,379.78 and 733.49

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Solution

The fourth proportional to 999.52, 1,379.78 and 733.49 is: 1,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.52 : 1,379.78 = 733.49 : x
  2. Step 2: Convert to fraction form
    999.52/1,379.78 = 733.49/x
  3. Step 3: Cross multiply
    999.52x = 1,379.78 × 733.49
  4. Step 4: Simplify right side
    999.52x = 1,012,053.22
  5. Step 5: Solve for x
    x = 1,012,053.22/999.52
  6. Step 6: Final answer
    x = 1,012.54

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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.