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Finding the Fourth Proportional to 980.90, 1,470.27 and 403.46

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Solution

The fourth proportional to 980.90, 1,470.27 and 403.46 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.90 : 1,470.27 = 403.46 : x
  2. Step 2: Convert to fraction form
    980.90/1,470.27 = 403.46/x
  3. Step 3: Cross multiply
    980.90x = 1,470.27 × 403.46
  4. Step 4: Simplify right side
    980.90x = 593,195.13
  5. Step 5: Solve for x
    x = 593,195.13/980.90
  6. Step 6: Final answer
    x = 604.75

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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.