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Finding the Fourth Proportional to 980.33, 1,463.49 and 946.16

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Solution

The fourth proportional to 980.33, 1,463.49 and 946.16 is: 1,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.33 : 1,463.49 = 946.16 : x
  2. Step 2: Convert to fraction form
    980.33/1,463.49 = 946.16/x
  3. Step 3: Cross multiply
    980.33x = 1,463.49 × 946.16
  4. Step 4: Simplify right side
    980.33x = 1,384,695.70
  5. Step 5: Solve for x
    x = 1,384,695.70/980.33
  6. Step 6: Final answer
    x = 1,412.48

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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.