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Finding the Fourth Proportional to 980.98, 1,471.74 and 332.17

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Solution

The fourth proportional to 980.98, 1,471.74 and 332.17 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.98 : 1,471.74 = 332.17 : x
  2. Step 2: Convert to fraction form
    980.98/1,471.74 = 332.17/x
  3. Step 3: Cross multiply
    980.98x = 1,471.74 × 332.17
  4. Step 4: Simplify right side
    980.98x = 488,867.88
  5. Step 5: Solve for x
    x = 488,867.88/980.98
  6. Step 6: Final answer
    x = 498.35

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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.