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Finding the Fourth Proportional to 980.44, 1,470.30 and 425.08

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Solution

The fourth proportional to 980.44, 1,470.30 and 425.08 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.44 : 1,470.30 = 425.08 : x
  2. Step 2: Convert to fraction form
    980.44/1,470.30 = 425.08/x
  3. Step 3: Cross multiply
    980.44x = 1,470.30 × 425.08
  4. Step 4: Simplify right side
    980.44x = 624,995.12
  5. Step 5: Solve for x
    x = 624,995.12/980.44
  6. Step 6: Final answer
    x = 637.46

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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.