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Finding the Fourth Proportional to 2,205.74, 3,308.61 and 645.82

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Solution

The fourth proportional to 2,205.74, 3,308.61 and 645.82 is: 968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.74 : 3,308.61 = 645.82 : x
  2. Step 2: Convert to fraction form
    2,205.74/3,308.61 = 645.82/x
  3. Step 3: Cross multiply
    2,205.74x = 3,308.61 × 645.82
  4. Step 4: Simplify right side
    2,205.74x = 2,136,766.51
  5. Step 5: Solve for x
    x = 2,136,766.51/2,205.74
  6. Step 6: Final answer
    x = 968.73

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Similar ratio
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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.