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Finding the Fourth Proportional to 683.60, 940.68 and 654.48

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Solution

The fourth proportional to 683.60, 940.68 and 654.48 is: 900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.60 : 940.68 = 654.48 : x
  2. Step 2: Convert to fraction form
    683.60/940.68 = 654.48/x
  3. Step 3: Cross multiply
    683.60x = 940.68 × 654.48
  4. Step 4: Simplify right side
    683.60x = 615,656.25
  5. Step 5: Solve for x
    x = 615,656.25/683.60
  6. Step 6: Final answer
    x = 900.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.