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Finding the Fourth Proportional to 814.46, 1,118.53 and 683.24

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Solution

The fourth proportional to 814.46, 1,118.53 and 683.24 is: 938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.46 : 1,118.53 = 683.24 : x
  2. Step 2: Convert to fraction form
    814.46/1,118.53 = 683.24/x
  3. Step 3: Cross multiply
    814.46x = 1,118.53 × 683.24
  4. Step 4: Simplify right side
    814.46x = 764,224.44
  5. Step 5: Solve for x
    x = 764,224.44/814.46
  6. Step 6: Final answer
    x = 938.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.