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Finding the Fourth Proportional to 683.11, 1,025.57 and 405.98

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Solution

The fourth proportional to 683.11, 1,025.57 and 405.98 is: 609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.11 : 1,025.57 = 405.98 : x
  2. Step 2: Convert to fraction form
    683.11/1,025.57 = 405.98/x
  3. Step 3: Cross multiply
    683.11x = 1,025.57 × 405.98
  4. Step 4: Simplify right side
    683.11x = 416,360.91
  5. Step 5: Solve for x
    x = 416,360.91/683.11
  6. Step 6: Final answer
    x = 609.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.