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Finding the Fourth Proportional to 454.28, 683.87 and 414.60

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Solution

The fourth proportional to 454.28, 683.87 and 414.60 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.28 : 683.87 = 414.60 : x
  2. Step 2: Convert to fraction form
    454.28/683.87 = 414.60/x
  3. Step 3: Cross multiply
    454.28x = 683.87 × 414.60
  4. Step 4: Simplify right side
    454.28x = 283,532.50
  5. Step 5: Solve for x
    x = 283,532.50/454.28
  6. Step 6: Final answer
    x = 624.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.