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Finding the Fourth Proportional to 982.07, 1,473.10 and 298.07

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Solution

The fourth proportional to 982.07, 1,473.10 and 298.07 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.07 : 1,473.10 = 298.07 : x
  2. Step 2: Convert to fraction form
    982.07/1,473.10 = 298.07/x
  3. Step 3: Cross multiply
    982.07x = 1,473.10 × 298.07
  4. Step 4: Simplify right side
    982.07x = 439,086.92
  5. Step 5: Solve for x
    x = 439,086.92/982.07
  6. Step 6: Final answer
    x = 447.10

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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.