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Finding the Fourth Proportional to 1,414.48, 1,951.98 and 785.11

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Solution

The fourth proportional to 1,414.48, 1,951.98 and 785.11 is: 1,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.48 : 1,951.98 = 785.11 : x
  2. Step 2: Convert to fraction form
    1,414.48/1,951.98 = 785.11/x
  3. Step 3: Cross multiply
    1,414.48x = 1,951.98 × 785.11
  4. Step 4: Simplify right side
    1,414.48x = 1,532,505.33
  5. Step 5: Solve for x
    x = 1,532,505.33/1,414.48
  6. Step 6: Final answer
    x = 1,083.44

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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.