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Finding the Fourth Proportional to 1,515.86, 2,273.52 and 419.95

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Solution

The fourth proportional to 1,515.86, 2,273.52 and 419.95 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.86 : 2,273.52 = 419.95 : x
  2. Step 2: Convert to fraction form
    1,515.86/2,273.52 = 419.95/x
  3. Step 3: Cross multiply
    1,515.86x = 2,273.52 × 419.95
  4. Step 4: Simplify right side
    1,515.86x = 954,764.72
  5. Step 5: Solve for x
    x = 954,764.72/1,515.86
  6. Step 6: Final answer
    x = 629.85

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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.