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Finding the Fourth Proportional to 1,427.78, 2,142.35 and 696.96

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Solution

The fourth proportional to 1,427.78, 2,142.35 and 696.96 is: 1,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.78 : 2,142.35 = 696.96 : x
  2. Step 2: Convert to fraction form
    1,427.78/2,142.35 = 696.96/x
  3. Step 3: Cross multiply
    1,427.78x = 2,142.35 × 696.96
  4. Step 4: Simplify right side
    1,427.78x = 1,493,132.26
  5. Step 5: Solve for x
    x = 1,493,132.26/1,427.78
  6. Step 6: Final answer
    x = 1,045.77

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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.