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Finding the Fourth Proportional to 982.38, 1,473.56 and 298.38

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Solution

The fourth proportional to 982.38, 1,473.56 and 298.38 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,473.56 = 298.38 : x
  2. Step 2: Convert to fraction form
    982.38/1,473.56 = 298.38/x
  3. Step 3: Cross multiply
    982.38x = 1,473.56 × 298.38
  4. Step 4: Simplify right side
    982.38x = 439,680.83
  5. Step 5: Solve for x
    x = 439,680.83/982.38
  6. Step 6: Final answer
    x = 447.57

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1.5x scale

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.