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Finding the Fourth Proportional to 967.32, 1,443.36 and 908.54

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Solution

The fourth proportional to 967.32, 1,443.36 and 908.54 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.32 : 1,443.36 = 908.54 : x
  2. Step 2: Convert to fraction form
    967.32/1,443.36 = 908.54/x
  3. Step 3: Cross multiply
    967.32x = 1,443.36 × 908.54
  4. Step 4: Simplify right side
    967.32x = 1,311,343.08
  5. Step 5: Solve for x
    x = 1,311,343.08/967.32
  6. Step 6: Final answer
    x = 1,355.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.