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Finding the Fourth Proportional to 1,305.10, 1,800.81 and 745.49

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Solution

The fourth proportional to 1,305.10, 1,800.81 and 745.49 is: 1,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.10 : 1,800.81 = 745.49 : x
  2. Step 2: Convert to fraction form
    1,305.10/1,800.81 = 745.49/x
  3. Step 3: Cross multiply
    1,305.10x = 1,800.81 × 745.49
  4. Step 4: Simplify right side
    1,305.10x = 1,342,490.35
  5. Step 5: Solve for x
    x = 1,342,490.35/1,305.10
  6. Step 6: Final answer
    x = 1,028.65

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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.