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Finding the Fourth Proportional to 456.38, 683.15 and 441.80

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Solution

The fourth proportional to 456.38, 683.15 and 441.80 is: 661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.38 : 683.15 = 441.80 : x
  2. Step 2: Convert to fraction form
    456.38/683.15 = 441.80/x
  3. Step 3: Cross multiply
    456.38x = 683.15 × 441.80
  4. Step 4: Simplify right side
    456.38x = 301,810.05
  5. Step 5: Solve for x
    x = 301,810.05/456.38
  6. Step 6: Final answer
    x = 661.32

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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.