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Finding the Fourth Proportional to 683.65, 1,025.73 and 409.94

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Solution

The fourth proportional to 683.65, 1,025.73 and 409.94 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,025.73 = 409.94 : x
  2. Step 2: Convert to fraction form
    683.65/1,025.73 = 409.94/x
  3. Step 3: Cross multiply
    683.65x = 1,025.73 × 409.94
  4. Step 4: Simplify right side
    683.65x = 420,487.76
  5. Step 5: Solve for x
    x = 420,487.76/683.65
  6. Step 6: Final answer
    x = 615.06

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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.