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Finding the Fourth Proportional to 448.94, 673.42 and 319.52

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Solution

The fourth proportional to 448.94, 673.42 and 319.52 is: 479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 673.42 = 319.52 : x
  2. Step 2: Convert to fraction form
    448.94/673.42 = 319.52/x
  3. Step 3: Cross multiply
    448.94x = 673.42 × 319.52
  4. Step 4: Simplify right side
    448.94x = 215,171.16
  5. Step 5: Solve for x
    x = 215,171.16/448.94
  6. Step 6: Final answer
    x = 479.29

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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.