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Finding the Fourth Proportional to 1,025.32, 1,414.98 and 583.21

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Solution

The fourth proportional to 1,025.32, 1,414.98 and 583.21 is: 804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.32 : 1,414.98 = 583.21 : x
  2. Step 2: Convert to fraction form
    1,025.32/1,414.98 = 583.21/x
  3. Step 3: Cross multiply
    1,025.32x = 1,414.98 × 583.21
  4. Step 4: Simplify right side
    1,025.32x = 825,230.49
  5. Step 5: Solve for x
    x = 825,230.49/1,025.32
  6. Step 6: Final answer
    x = 804.85

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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.