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Finding the Fourth Proportional to 1,276.30, 1,760.48 and 1,063.06

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Solution

The fourth proportional to 1,276.30, 1,760.48 and 1,063.06 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.30 : 1,760.48 = 1,063.06 : x
  2. Step 2: Convert to fraction form
    1,276.30/1,760.48 = 1,063.06/x
  3. Step 3: Cross multiply
    1,276.30x = 1,760.48 × 1,063.06
  4. Step 4: Simplify right side
    1,276.30x = 1,871,481.75
  5. Step 5: Solve for x
    x = 1,871,481.75/1,276.30
  6. Step 6: Final answer
    x = 1,466.34

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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.