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Finding the Fourth Proportional to 1,407.34, 2,107.82 and 677.44

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Solution

The fourth proportional to 1,407.34, 2,107.82 and 677.44 is: 1,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.34 : 2,107.82 = 677.44 : x
  2. Step 2: Convert to fraction form
    1,407.34/2,107.82 = 677.44/x
  3. Step 3: Cross multiply
    1,407.34x = 2,107.82 × 677.44
  4. Step 4: Simplify right side
    1,407.34x = 1,427,921.58
  5. Step 5: Solve for x
    x = 1,427,921.58/1,407.34
  6. Step 6: Final answer
    x = 1,014.62

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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.