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Finding the Fourth Proportional to 683.79, 1,023.45 and 520.57

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Solution

The fourth proportional to 683.79, 1,023.45 and 520.57 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.79 : 1,023.45 = 520.57 : x
  2. Step 2: Convert to fraction form
    683.79/1,023.45 = 520.57/x
  3. Step 3: Cross multiply
    683.79x = 1,023.45 × 520.57
  4. Step 4: Simplify right side
    683.79x = 532,777.37
  5. Step 5: Solve for x
    x = 532,777.37/683.79
  6. Step 6: Final answer
    x = 779.15

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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.