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Finding the Fourth Proportional to 967.12, 1,451.08 and 480.72

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Solution

The fourth proportional to 967.12, 1,451.08 and 480.72 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,451.08 = 480.72 : x
  2. Step 2: Convert to fraction form
    967.12/1,451.08 = 480.72/x
  3. Step 3: Cross multiply
    967.12x = 1,451.08 × 480.72
  4. Step 4: Simplify right side
    967.12x = 697,563.18
  5. Step 5: Solve for x
    x = 697,563.18/967.12
  6. Step 6: Final answer
    x = 721.28

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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.