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Finding the Fourth Proportional to 961.19, 1,443.12 and 668

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Solution

The fourth proportional to 961.19, 1,443.12 and 668 is: 1,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.19 : 1,443.12 = 668 : x
  2. Step 2: Convert to fraction form
    961.19/1,443.12 = 668/x
  3. Step 3: Cross multiply
    961.19x = 1,443.12 × 668
  4. Step 4: Simplify right side
    961.19x = 964,004.16
  5. Step 5: Solve for x
    x = 964,004.16/961.19
  6. Step 6: Final answer
    x = 1,002.93

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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.