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Finding the Fourth Proportional to 2,206.77, 3,307.83 and 745.41

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Solution

The fourth proportional to 2,206.77, 3,307.83 and 745.41 is: 1,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.77 : 3,307.83 = 745.41 : x
  2. Step 2: Convert to fraction form
    2,206.77/3,307.83 = 745.41/x
  3. Step 3: Cross multiply
    2,206.77x = 3,307.83 × 745.41
  4. Step 4: Simplify right side
    2,206.77x = 2,465,689.56
  5. Step 5: Solve for x
    x = 2,465,689.56/2,206.77
  6. Step 6: Final answer
    x = 1,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.