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Finding the Fourth Proportional to 2,223.57, 3,335.34 and 684.57

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Solution

The fourth proportional to 2,223.57, 3,335.34 and 684.57 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.57 : 3,335.34 = 684.57 : x
  2. Step 2: Convert to fraction form
    2,223.57/3,335.34 = 684.57/x
  3. Step 3: Cross multiply
    2,223.57x = 3,335.34 × 684.57
  4. Step 4: Simplify right side
    2,223.57x = 2,283,273.70
  5. Step 5: Solve for x
    x = 2,283,273.70/2,223.57
  6. Step 6: Final answer
    x = 1,026.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.