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Finding the Fourth Proportional to 1,261.00, 1,891.84 and 439.32

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Solution

The fourth proportional to 1,261.00, 1,891.84 and 439.32 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.00 : 1,891.84 = 439.32 : x
  2. Step 2: Convert to fraction form
    1,261.00/1,891.84 = 439.32/x
  3. Step 3: Cross multiply
    1,261.00x = 1,891.84 × 439.32
  4. Step 4: Simplify right side
    1,261.00x = 831,111.49
  5. Step 5: Solve for x
    x = 831,111.49/1,261.00
  6. Step 6: Final answer
    x = 659.09

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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.