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Finding the Fourth Proportional to 683.76, 1,025.67 and 359.22

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Solution

The fourth proportional to 683.76, 1,025.67 and 359.22 is: 538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 1,025.67 = 359.22 : x
  2. Step 2: Convert to fraction form
    683.76/1,025.67 = 359.22/x
  3. Step 3: Cross multiply
    683.76x = 1,025.67 × 359.22
  4. Step 4: Simplify right side
    683.76x = 368,441.18
  5. Step 5: Solve for x
    x = 368,441.18/683.76
  6. Step 6: Final answer
    x = 538.85

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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.