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Finding the Fourth Proportional to 683.69, 1,025.82 and 410.31

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Solution

The fourth proportional to 683.69, 1,025.82 and 410.31 is: 615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.69 : 1,025.82 = 410.31 : x
  2. Step 2: Convert to fraction form
    683.69/1,025.82 = 410.31/x
  3. Step 3: Cross multiply
    683.69x = 1,025.82 × 410.31
  4. Step 4: Simplify right side
    683.69x = 420,904.20
  5. Step 5: Solve for x
    x = 420,904.20/683.69
  6. Step 6: Final answer
    x = 615.64

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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.