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Finding the Fourth Proportional to 967.04, 1,448.29 and 669.49

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Solution

The fourth proportional to 967.04, 1,448.29 and 669.49 is: 1,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.04 : 1,448.29 = 669.49 : x
  2. Step 2: Convert to fraction form
    967.04/1,448.29 = 669.49/x
  3. Step 3: Cross multiply
    967.04x = 1,448.29 × 669.49
  4. Step 4: Simplify right side
    967.04x = 969,616.93
  5. Step 5: Solve for x
    x = 969,616.93/967.04
  6. Step 6: Final answer
    x = 1,002.66

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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.