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Finding the Fourth Proportional to 1,280.51, 1,766.16 and 782.75

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Solution

The fourth proportional to 1,280.51, 1,766.16 and 782.75 is: 1,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.51 : 1,766.16 = 782.75 : x
  2. Step 2: Convert to fraction form
    1,280.51/1,766.16 = 782.75/x
  3. Step 3: Cross multiply
    1,280.51x = 1,766.16 × 782.75
  4. Step 4: Simplify right side
    1,280.51x = 1,382,452.91
  5. Step 5: Solve for x
    x = 1,382,452.91/1,280.51
  6. Step 6: Final answer
    x = 1,079.61

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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.