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Finding the Fourth Proportional to 980.05, 1,470.00 and 363.49

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Solution

The fourth proportional to 980.05, 1,470.00 and 363.49 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.05 : 1,470.00 = 363.49 : x
  2. Step 2: Convert to fraction form
    980.05/1,470.00 = 363.49/x
  3. Step 3: Cross multiply
    980.05x = 1,470.00 × 363.49
  4. Step 4: Simplify right side
    980.05x = 534,325.94
  5. Step 5: Solve for x
    x = 534,325.94/980.05
  6. Step 6: Final answer
    x = 545.20

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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.