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Finding the Fourth Proportional to 456.20, 683.70 and 404.60

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Solution

The fourth proportional to 456.20, 683.70 and 404.60 is: 606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 683.70 = 404.60 : x
  2. Step 2: Convert to fraction form
    456.20/683.70 = 404.60/x
  3. Step 3: Cross multiply
    456.20x = 683.70 × 404.60
  4. Step 4: Simplify right side
    456.20x = 276,625.02
  5. Step 5: Solve for x
    x = 276,625.02/456.20
  6. Step 6: Final answer
    x = 606.37

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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.