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Finding the Fourth Proportional to 1,277.64, 1,760.50 and 1,027.96

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Solution

The fourth proportional to 1,277.64, 1,760.50 and 1,027.96 is: 1,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.64 : 1,760.50 = 1,027.96 : x
  2. Step 2: Convert to fraction form
    1,277.64/1,760.50 = 1,027.96/x
  3. Step 3: Cross multiply
    1,277.64x = 1,760.50 × 1,027.96
  4. Step 4: Simplify right side
    1,277.64x = 1,809,720.46
  5. Step 5: Solve for x
    x = 1,809,720.46/1,277.64
  6. Step 6: Final answer
    x = 1,416.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.