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Finding the Fourth Proportional to 980.09, 1,352.55 and 538.01

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Solution

The fourth proportional to 980.09, 1,352.55 and 538.01 is: 742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.09 : 1,352.55 = 538.01 : x
  2. Step 2: Convert to fraction form
    980.09/1,352.55 = 538.01/x
  3. Step 3: Cross multiply
    980.09x = 1,352.55 × 538.01
  4. Step 4: Simplify right side
    980.09x = 727,690.82
  5. Step 5: Solve for x
    x = 727,690.82/980.09
  6. Step 6: Final answer
    x = 742.47

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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.