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Finding the Fourth Proportional to 456.60, 683.30 and 418.20

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Solution

The fourth proportional to 456.60, 683.30 and 418.20 is: 625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 683.30 = 418.20 : x
  2. Step 2: Convert to fraction form
    456.60/683.30 = 418.20/x
  3. Step 3: Cross multiply
    456.60x = 683.30 × 418.20
  4. Step 4: Simplify right side
    456.60x = 285,756.06
  5. Step 5: Solve for x
    x = 285,756.06/456.60
  6. Step 6: Final answer
    x = 625.83

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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.