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Finding the Fourth Proportional to 2,205.88, 3,308.82 and 907.45

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Solution

The fourth proportional to 2,205.88, 3,308.82 and 907.45 is: 1,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.88 : 3,308.82 = 907.45 : x
  2. Step 2: Convert to fraction form
    2,205.88/3,308.82 = 907.45/x
  3. Step 3: Cross multiply
    2,205.88x = 3,308.82 × 907.45
  4. Step 4: Simplify right side
    2,205.88x = 3,002,588.71
  5. Step 5: Solve for x
    x = 3,002,588.71/2,205.88
  6. Step 6: Final answer
    x = 1,361.18

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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.