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Finding the Fourth Proportional to 1,382.78, 1,908.41 and 793.50

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Solution

The fourth proportional to 1,382.78, 1,908.41 and 793.50 is: 1,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.78 : 1,908.41 = 793.50 : x
  2. Step 2: Convert to fraction form
    1,382.78/1,908.41 = 793.50/x
  3. Step 3: Cross multiply
    1,382.78x = 1,908.41 × 793.50
  4. Step 4: Simplify right side
    1,382.78x = 1,514,323.34
  5. Step 5: Solve for x
    x = 1,514,323.34/1,382.78
  6. Step 6: Final answer
    x = 1,095.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.