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Finding the Fourth Proportional to 893.13, 1,227.32 and 745.50

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Solution

The fourth proportional to 893.13, 1,227.32 and 745.50 is: 1,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.13 : 1,227.32 = 745.50 : x
  2. Step 2: Convert to fraction form
    893.13/1,227.32 = 745.50/x
  3. Step 3: Cross multiply
    893.13x = 1,227.32 × 745.50
  4. Step 4: Simplify right side
    893.13x = 914,970.73
  5. Step 5: Solve for x
    x = 914,970.73/893.13
  6. Step 6: Final answer
    x = 1,024.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.