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Finding the Fourth Proportional to 456.59, 683.87 and 446.33

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Solution

The fourth proportional to 456.59, 683.87 and 446.33 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.59 : 683.87 = 446.33 : x
  2. Step 2: Convert to fraction form
    456.59/683.87 = 446.33/x
  3. Step 3: Cross multiply
    456.59x = 683.87 × 446.33
  4. Step 4: Simplify right side
    456.59x = 305,231.18
  5. Step 5: Solve for x
    x = 305,231.18/456.59
  6. Step 6: Final answer
    x = 668.50

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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.