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Finding the Fourth Proportional to 980.13, 1,468.78 and 736.38

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Solution

The fourth proportional to 980.13, 1,468.78 and 736.38 is: 1,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.13 : 1,468.78 = 736.38 : x
  2. Step 2: Convert to fraction form
    980.13/1,468.78 = 736.38/x
  3. Step 3: Cross multiply
    980.13x = 1,468.78 × 736.38
  4. Step 4: Simplify right side
    980.13x = 1,081,580.22
  5. Step 5: Solve for x
    x = 1,081,580.22/980.13
  6. Step 6: Final answer
    x = 1,103.51

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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.