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Finding the Fourth Proportional to 1,261.94, 1,741.95 and 819.87

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Solution

The fourth proportional to 1,261.94, 1,741.95 and 819.87 is: 1,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.94 : 1,741.95 = 819.87 : x
  2. Step 2: Convert to fraction form
    1,261.94/1,741.95 = 819.87/x
  3. Step 3: Cross multiply
    1,261.94x = 1,741.95 × 819.87
  4. Step 4: Simplify right side
    1,261.94x = 1,428,172.55
  5. Step 5: Solve for x
    x = 1,428,172.55/1,261.94
  6. Step 6: Final answer
    x = 1,131.73

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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.