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Finding the Fourth Proportional to 683.86, 1,025.80 and 580.89

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Solution

The fourth proportional to 683.86, 1,025.80 and 580.89 is: 871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,025.80 = 580.89 : x
  2. Step 2: Convert to fraction form
    683.86/1,025.80 = 580.89/x
  3. Step 3: Cross multiply
    683.86x = 1,025.80 × 580.89
  4. Step 4: Simplify right side
    683.86x = 595,876.96
  5. Step 5: Solve for x
    x = 595,876.96/683.86
  6. Step 6: Final answer
    x = 871.34

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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.