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Finding the Fourth Proportional to 745.20, 1,026.93 and 733.25

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Solution

The fourth proportional to 745.20, 1,026.93 and 733.25 is: 1,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.20 : 1,026.93 = 733.25 : x
  2. Step 2: Convert to fraction form
    745.20/1,026.93 = 733.25/x
  3. Step 3: Cross multiply
    745.20x = 1,026.93 × 733.25
  4. Step 4: Simplify right side
    745.20x = 752,997.61
  5. Step 5: Solve for x
    x = 752,997.61/745.20
  6. Step 6: Final answer
    x = 1,010.46

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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.