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Finding the Fourth Proportional to 1,518.68, 2,278.04 and 408.15

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Solution

The fourth proportional to 1,518.68, 2,278.04 and 408.15 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.68 : 2,278.04 = 408.15 : x
  2. Step 2: Convert to fraction form
    1,518.68/2,278.04 = 408.15/x
  3. Step 3: Cross multiply
    1,518.68x = 2,278.04 × 408.15
  4. Step 4: Simplify right side
    1,518.68x = 929,782.03
  5. Step 5: Solve for x
    x = 929,782.03/1,518.68
  6. Step 6: Final answer
    x = 612.23

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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.