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Finding the Fourth Proportional to 1,233.78, 1,846.98 and 745.35

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Solution

The fourth proportional to 1,233.78, 1,846.98 and 745.35 is: 1,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.78 : 1,846.98 = 745.35 : x
  2. Step 2: Convert to fraction form
    1,233.78/1,846.98 = 745.35/x
  3. Step 3: Cross multiply
    1,233.78x = 1,846.98 × 745.35
  4. Step 4: Simplify right side
    1,233.78x = 1,376,646.54
  5. Step 5: Solve for x
    x = 1,376,646.54/1,233.78
  6. Step 6: Final answer
    x = 1,115.80

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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.