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Finding the Fourth Proportional to 967.04, 1,449.60 and 447.20

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Solution

The fourth proportional to 967.04, 1,449.60 and 447.20 is: 670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.04 : 1,449.60 = 447.20 : x
  2. Step 2: Convert to fraction form
    967.04/1,449.60 = 447.20/x
  3. Step 3: Cross multiply
    967.04x = 1,449.60 × 447.20
  4. Step 4: Simplify right side
    967.04x = 648,261.12
  5. Step 5: Solve for x
    x = 648,261.12/967.04
  6. Step 6: Final answer
    x = 670.36

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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.