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Finding the Fourth Proportional to 2,219.68, 3,329.72 and 576.22

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Solution

The fourth proportional to 2,219.68, 3,329.72 and 576.22 is: 864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.68 : 3,329.72 = 576.22 : x
  2. Step 2: Convert to fraction form
    2,219.68/3,329.72 = 576.22/x
  3. Step 3: Cross multiply
    2,219.68x = 3,329.72 × 576.22
  4. Step 4: Simplify right side
    2,219.68x = 1,918,651.26
  5. Step 5: Solve for x
    x = 1,918,651.26/2,219.68
  6. Step 6: Final answer
    x = 864.38

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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.