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Finding the Fourth Proportional to 448.44, 669.46 and 379.50

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Solution

The fourth proportional to 448.44, 669.46 and 379.50 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.44 : 669.46 = 379.50 : x
  2. Step 2: Convert to fraction form
    448.44/669.46 = 379.50/x
  3. Step 3: Cross multiply
    448.44x = 669.46 × 379.50
  4. Step 4: Simplify right side
    448.44x = 254,060.07
  5. Step 5: Solve for x
    x = 254,060.07/448.44
  6. Step 6: Final answer
    x = 566.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.