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Finding the Fourth Proportional to 683.85, 1,024.38 and 475.86

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Solution

The fourth proportional to 683.85, 1,024.38 and 475.86 is: 712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.85 : 1,024.38 = 475.86 : x
  2. Step 2: Convert to fraction form
    683.85/1,024.38 = 475.86/x
  3. Step 3: Cross multiply
    683.85x = 1,024.38 × 475.86
  4. Step 4: Simplify right side
    683.85x = 487,461.47
  5. Step 5: Solve for x
    x = 487,461.47/683.85
  6. Step 6: Final answer
    x = 712.82

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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.