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Finding the Fourth Proportional to 1,280.27, 1,765.91 and 782.28

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Solution

The fourth proportional to 1,280.27, 1,765.91 and 782.28 is: 1,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.27 : 1,765.91 = 782.28 : x
  2. Step 2: Convert to fraction form
    1,280.27/1,765.91 = 782.28/x
  3. Step 3: Cross multiply
    1,280.27x = 1,765.91 × 782.28
  4. Step 4: Simplify right side
    1,280.27x = 1,381,438.03
  5. Step 5: Solve for x
    x = 1,381,438.03/1,280.27
  6. Step 6: Final answer
    x = 1,079.02

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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.