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Finding the Fourth Proportional to 745.86, 1,028.40 and 605.52

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Solution

The fourth proportional to 745.86, 1,028.40 and 605.52 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.86 : 1,028.40 = 605.52 : x
  2. Step 2: Convert to fraction form
    745.86/1,028.40 = 605.52/x
  3. Step 3: Cross multiply
    745.86x = 1,028.40 × 605.52
  4. Step 4: Simplify right side
    745.86x = 622,716.77
  5. Step 5: Solve for x
    x = 622,716.77/745.86
  6. Step 6: Final answer
    x = 834.90

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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.