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Finding the Fourth Proportional to 967.33, 1,451 and 680.05

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Solution

The fourth proportional to 967.33, 1,451 and 680.05 is: 1,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.33 : 1,451 = 680.05 : x
  2. Step 2: Convert to fraction form
    967.33/1,451 = 680.05/x
  3. Step 3: Cross multiply
    967.33x = 1,451 × 680.05
  4. Step 4: Simplify right side
    967.33x = 986,752.55
  5. Step 5: Solve for x
    x = 986,752.55/967.33
  6. Step 6: Final answer
    x = 1,020.08

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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.