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Finding the Fourth Proportional to 968.62, 1,452.90 and 391.48

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Solution

The fourth proportional to 968.62, 1,452.90 and 391.48 is: 587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.62 : 1,452.90 = 391.48 : x
  2. Step 2: Convert to fraction form
    968.62/1,452.90 = 391.48/x
  3. Step 3: Cross multiply
    968.62x = 1,452.90 × 391.48
  4. Step 4: Simplify right side
    968.62x = 568,781.29
  5. Step 5: Solve for x
    x = 568,781.29/968.62
  6. Step 6: Final answer
    x = 587.21

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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.