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Finding the Fourth Proportional to 683.68, 941.52 and 659.20

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Solution

The fourth proportional to 683.68, 941.52 and 659.20 is: 907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.68 : 941.52 = 659.20 : x
  2. Step 2: Convert to fraction form
    683.68/941.52 = 659.20/x
  3. Step 3: Cross multiply
    683.68x = 941.52 × 659.20
  4. Step 4: Simplify right side
    683.68x = 620,649.98
  5. Step 5: Solve for x
    x = 620,649.98/683.68
  6. Step 6: Final answer
    x = 907.81

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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.