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Finding the Fourth Proportional to 967.16, 1,449.46 and 453.08

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Solution

The fourth proportional to 967.16, 1,449.46 and 453.08 is: 679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.16 : 1,449.46 = 453.08 : x
  2. Step 2: Convert to fraction form
    967.16/1,449.46 = 453.08/x
  3. Step 3: Cross multiply
    967.16x = 1,449.46 × 453.08
  4. Step 4: Simplify right side
    967.16x = 656,721.34
  5. Step 5: Solve for x
    x = 656,721.34/967.16
  6. Step 6: Final answer
    x = 679.02

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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.