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Finding the Fourth Proportional to 2,219.75, 3,329.66 and 576.32

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Solution

The fourth proportional to 2,219.75, 3,329.66 and 576.32 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.75 : 3,329.66 = 576.32 : x
  2. Step 2: Convert to fraction form
    2,219.75/3,329.66 = 576.32/x
  3. Step 3: Cross multiply
    2,219.75x = 3,329.66 × 576.32
  4. Step 4: Simplify right side
    2,219.75x = 1,918,931.20
  5. Step 5: Solve for x
    x = 1,918,931.20/2,219.75
  6. Step 6: Final answer
    x = 864.48

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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.