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Finding the Fourth Proportional to 1,276.56, 1,762.20 and 997.56

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Solution

The fourth proportional to 1,276.56, 1,762.20 and 997.56 is: 1,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.56 : 1,762.20 = 997.56 : x
  2. Step 2: Convert to fraction form
    1,276.56/1,762.20 = 997.56/x
  3. Step 3: Cross multiply
    1,276.56x = 1,762.20 × 997.56
  4. Step 4: Simplify right side
    1,276.56x = 1,757,900.23
  5. Step 5: Solve for x
    x = 1,757,900.23/1,276.56
  6. Step 6: Final answer
    x = 1,377.06

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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.