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Finding the Fourth Proportional to 980.25, 1,470.78 and 403.53

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Solution

The fourth proportional to 980.25, 1,470.78 and 403.53 is: 605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 1,470.78 = 403.53 : x
  2. Step 2: Convert to fraction form
    980.25/1,470.78 = 403.53/x
  3. Step 3: Cross multiply
    980.25x = 1,470.78 × 403.53
  4. Step 4: Simplify right side
    980.25x = 593,503.85
  5. Step 5: Solve for x
    x = 593,503.85/980.25
  6. Step 6: Final answer
    x = 605.46

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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.