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Finding the Fourth Proportional to 1,025.36, 1,414.89 and 583.25

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Solution

The fourth proportional to 1,025.36, 1,414.89 and 583.25 is: 804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.36 : 1,414.89 = 583.25 : x
  2. Step 2: Convert to fraction form
    1,025.36/1,414.89 = 583.25/x
  3. Step 3: Cross multiply
    1,025.36x = 1,414.89 × 583.25
  4. Step 4: Simplify right side
    1,025.36x = 825,234.59
  5. Step 5: Solve for x
    x = 825,234.59/1,025.36
  6. Step 6: Final answer
    x = 804.82

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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.