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Finding the Fourth Proportional to 683.16, 1,022.28 and 438.56

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Solution

The fourth proportional to 683.16, 1,022.28 and 438.56 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,022.28 = 438.56 : x
  2. Step 2: Convert to fraction form
    683.16/1,022.28 = 438.56/x
  3. Step 3: Cross multiply
    683.16x = 1,022.28 × 438.56
  4. Step 4: Simplify right side
    683.16x = 448,331.12
  5. Step 5: Solve for x
    x = 448,331.12/683.16
  6. Step 6: Final answer
    x = 656.26

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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.