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Finding the Fourth Proportional to 1,274.63, 1,761.18 and 919.85

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Solution

The fourth proportional to 1,274.63, 1,761.18 and 919.85 is: 1,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.63 : 1,761.18 = 919.85 : x
  2. Step 2: Convert to fraction form
    1,274.63/1,761.18 = 919.85/x
  3. Step 3: Cross multiply
    1,274.63x = 1,761.18 × 919.85
  4. Step 4: Simplify right side
    1,274.63x = 1,620,021.42
  5. Step 5: Solve for x
    x = 1,620,021.42/1,274.63
  6. Step 6: Final answer
    x = 1,270.97

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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.