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Finding the Fourth Proportional to 968.08, 1,452.08 and 412.82

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Solution

The fourth proportional to 968.08, 1,452.08 and 412.82 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.08 : 1,452.08 = 412.82 : x
  2. Step 2: Convert to fraction form
    968.08/1,452.08 = 412.82/x
  3. Step 3: Cross multiply
    968.08x = 1,452.08 × 412.82
  4. Step 4: Simplify right side
    968.08x = 599,447.67
  5. Step 5: Solve for x
    x = 599,447.67/968.08
  6. Step 6: Final answer
    x = 619.21

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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.