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Finding the Fourth Proportional to 980.83, 1,471.24 and 332.02

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Solution

The fourth proportional to 980.83, 1,471.24 and 332.02 is: 498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.83 : 1,471.24 = 332.02 : x
  2. Step 2: Convert to fraction form
    980.83/1,471.24 = 332.02/x
  3. Step 3: Cross multiply
    980.83x = 1,471.24 × 332.02
  4. Step 4: Simplify right side
    980.83x = 488,477.84
  5. Step 5: Solve for x
    x = 488,477.84/980.83
  6. Step 6: Final answer
    x = 498.03

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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.