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Finding the Fourth Proportional to 683.64, 948.60 and 656.22

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Solution

The fourth proportional to 683.64, 948.60 and 656.22 is: 910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 948.60 = 656.22 : x
  2. Step 2: Convert to fraction form
    683.64/948.60 = 656.22/x
  3. Step 3: Cross multiply
    683.64x = 948.60 × 656.22
  4. Step 4: Simplify right side
    683.64x = 622,490.29
  5. Step 5: Solve for x
    x = 622,490.29/683.64
  6. Step 6: Final answer
    x = 910.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.