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Finding the Fourth Proportional to 448.48, 668.99 and 380.44

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Solution

The fourth proportional to 448.48, 668.99 and 380.44 is: 567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 668.99 = 380.44 : x
  2. Step 2: Convert to fraction form
    448.48/668.99 = 380.44/x
  3. Step 3: Cross multiply
    448.48x = 668.99 × 380.44
  4. Step 4: Simplify right side
    448.48x = 254,510.56
  5. Step 5: Solve for x
    x = 254,510.56/448.48
  6. Step 6: Final answer
    x = 567.50

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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.