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Finding the Fourth Proportional to 448.59, 673.01 and 380.60

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Solution

The fourth proportional to 448.59, 673.01 and 380.60 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 673.01 = 380.60 : x
  2. Step 2: Convert to fraction form
    448.59/673.01 = 380.60/x
  3. Step 3: Cross multiply
    448.59x = 673.01 × 380.60
  4. Step 4: Simplify right side
    448.59x = 256,142.34
  5. Step 5: Solve for x
    x = 256,142.34/448.59
  6. Step 6: Final answer
    x = 570.99

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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.