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Finding the Fourth Proportional to 683.48, 943.44 and 660.80

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Solution

The fourth proportional to 683.48, 943.44 and 660.80 is: 912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.48 : 943.44 = 660.80 : x
  2. Step 2: Convert to fraction form
    683.48/943.44 = 660.80/x
  3. Step 3: Cross multiply
    683.48x = 943.44 × 660.80
  4. Step 4: Simplify right side
    683.48x = 623,425.15
  5. Step 5: Solve for x
    x = 623,425.15/683.48
  6. Step 6: Final answer
    x = 912.13

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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.