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Finding the Fourth Proportional to 980.36, 1,353.51 and 681.52

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Solution

The fourth proportional to 980.36, 1,353.51 and 681.52 is: 940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.36 : 1,353.51 = 681.52 : x
  2. Step 2: Convert to fraction form
    980.36/1,353.51 = 681.52/x
  3. Step 3: Cross multiply
    980.36x = 1,353.51 × 681.52
  4. Step 4: Simplify right side
    980.36x = 922,447.10
  5. Step 5: Solve for x
    x = 922,447.10/980.36
  6. Step 6: Final answer
    x = 940.93

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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.