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Finding the Fourth Proportional to 2,205.71, 3,308.57 and 745.89

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Solution

The fourth proportional to 2,205.71, 3,308.57 and 745.89 is: 1,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.71 : 3,308.57 = 745.89 : x
  2. Step 2: Convert to fraction form
    2,205.71/3,308.57 = 745.89/x
  3. Step 3: Cross multiply
    2,205.71x = 3,308.57 × 745.89
  4. Step 4: Simplify right side
    2,205.71x = 2,467,829.28
  5. Step 5: Solve for x
    x = 2,467,829.28/2,205.71
  6. Step 6: Final answer
    x = 1,118.84

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1.5x scale

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.