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Finding the Fourth Proportional to 967.84, 1,452.21 and 447.51

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Solution

The fourth proportional to 967.84, 1,452.21 and 447.51 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,452.21 = 447.51 : x
  2. Step 2: Convert to fraction form
    967.84/1,452.21 = 447.51/x
  3. Step 3: Cross multiply
    967.84x = 1,452.21 × 447.51
  4. Step 4: Simplify right side
    967.84x = 649,878.50
  5. Step 5: Solve for x
    x = 649,878.50/967.84
  6. Step 6: Final answer
    x = 671.47

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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.