Home / 1,519.08-2,278.71-408.66

Finding the Fourth Proportional to 1,519.08, 2,278.71 and 408.66

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Solution

The fourth proportional to 1,519.08, 2,278.71 and 408.66 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.08 : 2,278.71 = 408.66 : x
  2. Step 2: Convert to fraction form
    1,519.08/2,278.71 = 408.66/x
  3. Step 3: Cross multiply
    1,519.08x = 2,278.71 × 408.66
  4. Step 4: Simplify right side
    1,519.08x = 931,217.63
  5. Step 5: Solve for x
    x = 931,217.63/1,519.08
  6. Step 6: Final answer
    x = 613.01

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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.