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Finding the Fourth Proportional to 2,205.68, 3,308.67 and 818.99

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Solution

The fourth proportional to 2,205.68, 3,308.67 and 818.99 is: 1,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.68 : 3,308.67 = 818.99 : x
  2. Step 2: Convert to fraction form
    2,205.68/3,308.67 = 818.99/x
  3. Step 3: Cross multiply
    2,205.68x = 3,308.67 × 818.99
  4. Step 4: Simplify right side
    2,205.68x = 2,709,751.10
  5. Step 5: Solve for x
    x = 2,709,751.10/2,205.68
  6. Step 6: Final answer
    x = 1,228.53

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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.