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Finding the Fourth Proportional to 1,280.76, 1,755.93 and 1,257.41

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Solution

The fourth proportional to 1,280.76, 1,755.93 and 1,257.41 is: 1,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.76 : 1,755.93 = 1,257.41 : x
  2. Step 2: Convert to fraction form
    1,280.76/1,755.93 = 1,257.41/x
  3. Step 3: Cross multiply
    1,280.76x = 1,755.93 × 1,257.41
  4. Step 4: Simplify right side
    1,280.76x = 2,207,927.48
  5. Step 5: Solve for x
    x = 2,207,927.48/1,280.76
  6. Step 6: Final answer
    x = 1,723.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.