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Finding the Fourth Proportional to 1,261.38, 1,891.88 and 439.72

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Solution

The fourth proportional to 1,261.38, 1,891.88 and 439.72 is: 659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.38 : 1,891.88 = 439.72 : x
  2. Step 2: Convert to fraction form
    1,261.38/1,891.88 = 439.72/x
  3. Step 3: Cross multiply
    1,261.38x = 1,891.88 × 439.72
  4. Step 4: Simplify right side
    1,261.38x = 831,897.47
  5. Step 5: Solve for x
    x = 831,897.47/1,261.38
  6. Step 6: Final answer
    x = 659.51

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Double scale
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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.