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Finding the Fourth Proportional to 980.54, 1,470.60 and 287.06

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Solution

The fourth proportional to 980.54, 1,470.60 and 287.06 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.54 : 1,470.60 = 287.06 : x
  2. Step 2: Convert to fraction form
    980.54/1,470.60 = 287.06/x
  3. Step 3: Cross multiply
    980.54x = 1,470.60 × 287.06
  4. Step 4: Simplify right side
    980.54x = 422,150.44
  5. Step 5: Solve for x
    x = 422,150.44/980.54
  6. Step 6: Final answer
    x = 430.53

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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.