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Finding the Fourth Proportional to 980.47, 1,352.18 and 685.23

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Solution

The fourth proportional to 980.47, 1,352.18 and 685.23 is: 945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.47 : 1,352.18 = 685.23 : x
  2. Step 2: Convert to fraction form
    980.47/1,352.18 = 685.23/x
  3. Step 3: Cross multiply
    980.47x = 1,352.18 × 685.23
  4. Step 4: Simplify right side
    980.47x = 926,554.30
  5. Step 5: Solve for x
    x = 926,554.30/980.47
  6. Step 6: Final answer
    x = 945.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.