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Finding the Fourth Proportional to 456.05, 683.80 and 174.49

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Solution

The fourth proportional to 456.05, 683.80 and 174.49 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 683.80 = 174.49 : x
  2. Step 2: Convert to fraction form
    456.05/683.80 = 174.49/x
  3. Step 3: Cross multiply
    456.05x = 683.80 × 174.49
  4. Step 4: Simplify right side
    456.05x = 119,316.26
  5. Step 5: Solve for x
    x = 119,316.26/456.05
  6. Step 6: Final answer
    x = 261.63

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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.