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Finding the Fourth Proportional to 1,414.73, 1,952.13 and 785.10

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Solution

The fourth proportional to 1,414.73, 1,952.13 and 785.10 is: 1,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.73 : 1,952.13 = 785.10 : x
  2. Step 2: Convert to fraction form
    1,414.73/1,952.13 = 785.10/x
  3. Step 3: Cross multiply
    1,414.73x = 1,952.13 × 785.10
  4. Step 4: Simplify right side
    1,414.73x = 1,532,617.26
  5. Step 5: Solve for x
    x = 1,532,617.26/1,414.73
  6. Step 6: Final answer
    x = 1,083.33

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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.