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Finding the Fourth Proportional to 919.37, 1,267.52 and 761.42

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Solution

The fourth proportional to 919.37, 1,267.52 and 761.42 is: 1,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.37 : 1,267.52 = 761.42 : x
  2. Step 2: Convert to fraction form
    919.37/1,267.52 = 761.42/x
  3. Step 3: Cross multiply
    919.37x = 1,267.52 × 761.42
  4. Step 4: Simplify right side
    919.37x = 965,114.44
  5. Step 5: Solve for x
    x = 965,114.44/919.37
  6. Step 6: Final answer
    x = 1,049.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.