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Finding the Fourth Proportional to 683.18, 1,024.78 and 423.94

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Solution

The fourth proportional to 683.18, 1,024.78 and 423.94 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.18 : 1,024.78 = 423.94 : x
  2. Step 2: Convert to fraction form
    683.18/1,024.78 = 423.94/x
  3. Step 3: Cross multiply
    683.18x = 1,024.78 × 423.94
  4. Step 4: Simplify right side
    683.18x = 434,445.23
  5. Step 5: Solve for x
    x = 434,445.23/683.18
  6. Step 6: Final answer
    x = 635.92

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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.