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Finding the Fourth Proportional to 1,280.83, 1,921.71 and 415.15

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Solution

The fourth proportional to 1,280.83, 1,921.71 and 415.15 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.83 : 1,921.71 = 415.15 : x
  2. Step 2: Convert to fraction form
    1,280.83/1,921.71 = 415.15/x
  3. Step 3: Cross multiply
    1,280.83x = 1,921.71 × 415.15
  4. Step 4: Simplify right side
    1,280.83x = 797,797.91
  5. Step 5: Solve for x
    x = 797,797.91/1,280.83
  6. Step 6: Final answer
    x = 622.88

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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.