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Finding the Fourth Proportional to 968.39, 1,452.69 and 448.41

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Solution

The fourth proportional to 968.39, 1,452.69 and 448.41 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.39 : 1,452.69 = 448.41 : x
  2. Step 2: Convert to fraction form
    968.39/1,452.69 = 448.41/x
  3. Step 3: Cross multiply
    968.39x = 1,452.69 × 448.41
  4. Step 4: Simplify right side
    968.39x = 651,400.72
  5. Step 5: Solve for x
    x = 651,400.72/968.39
  6. Step 6: Final answer
    x = 672.67

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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.