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Finding the Fourth Proportional to 745.25, 1,028.34 and 626.81

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Solution

The fourth proportional to 745.25, 1,028.34 and 626.81 is: 864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,028.34 = 626.81 : x
  2. Step 2: Convert to fraction form
    745.25/1,028.34 = 626.81/x
  3. Step 3: Cross multiply
    745.25x = 1,028.34 × 626.81
  4. Step 4: Simplify right side
    745.25x = 644,568.65
  5. Step 5: Solve for x
    x = 644,568.65/745.25
  6. Step 6: Final answer
    x = 864.91

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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.