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Finding the Fourth Proportional to 745.25, 1,111.07 and 726.30

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Solution

The fourth proportional to 745.25, 1,111.07 and 726.30 is: 1,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.25 : 1,111.07 = 726.30 : x
  2. Step 2: Convert to fraction form
    745.25/1,111.07 = 726.30/x
  3. Step 3: Cross multiply
    745.25x = 1,111.07 × 726.30
  4. Step 4: Simplify right side
    745.25x = 806,966.51
  5. Step 5: Solve for x
    x = 806,966.51/745.25
  6. Step 6: Final answer
    x = 1,082.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.