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Finding the Fourth Proportional to 1,261.42, 1,891.46 and 439.46

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Solution

The fourth proportional to 1,261.42, 1,891.46 and 439.46 is: 658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.42 : 1,891.46 = 439.46 : x
  2. Step 2: Convert to fraction form
    1,261.42/1,891.46 = 439.46/x
  3. Step 3: Cross multiply
    1,261.42x = 1,891.46 × 439.46
  4. Step 4: Simplify right side
    1,261.42x = 831,221.01
  5. Step 5: Solve for x
    x = 831,221.01/1,261.42
  6. Step 6: Final answer
    x = 658.96

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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.