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Finding the Fourth Proportional to 745.98, 1,113.33 and 726.54

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Solution

The fourth proportional to 745.98, 1,113.33 and 726.54 is: 1,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.98 : 1,113.33 = 726.54 : x
  2. Step 2: Convert to fraction form
    745.98/1,113.33 = 726.54/x
  3. Step 3: Cross multiply
    745.98x = 1,113.33 × 726.54
  4. Step 4: Simplify right side
    745.98x = 808,878.78
  5. Step 5: Solve for x
    x = 808,878.78/745.98
  6. Step 6: Final answer
    x = 1,084.32

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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.