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Finding the Fourth Proportional to 683.63, 1,025.34 and 441.84

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Solution

The fourth proportional to 683.63, 1,025.34 and 441.84 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.63 : 1,025.34 = 441.84 : x
  2. Step 2: Convert to fraction form
    683.63/1,025.34 = 441.84/x
  3. Step 3: Cross multiply
    683.63x = 1,025.34 × 441.84
  4. Step 4: Simplify right side
    683.63x = 453,036.23
  5. Step 5: Solve for x
    x = 453,036.23/683.63
  6. Step 6: Final answer
    x = 662.69

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1.5x scale

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.