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Finding the Fourth Proportional to 827.25, 1,246.86 and 782.70

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Solution

The fourth proportional to 827.25, 1,246.86 and 782.70 is: 1,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.25 : 1,246.86 = 782.70 : x
  2. Step 2: Convert to fraction form
    827.25/1,246.86 = 782.70/x
  3. Step 3: Cross multiply
    827.25x = 1,246.86 × 782.70
  4. Step 4: Simplify right side
    827.25x = 975,917.32
  5. Step 5: Solve for x
    x = 975,917.32/827.25
  6. Step 6: Final answer
    x = 1,179.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.