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Finding the Fourth Proportional to 1,077.94, 1,616.79 and 308.42

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Solution

The fourth proportional to 1,077.94, 1,616.79 and 308.42 is: 462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.94 : 1,616.79 = 308.42 : x
  2. Step 2: Convert to fraction form
    1,077.94/1,616.79 = 308.42/x
  3. Step 3: Cross multiply
    1,077.94x = 1,616.79 × 308.42
  4. Step 4: Simplify right side
    1,077.94x = 498,650.37
  5. Step 5: Solve for x
    x = 498,650.37/1,077.94
  6. Step 6: Final answer
    x = 462.60

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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.