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Finding the Fourth Proportional to 983.12, 1,473.78 and 333.56

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Solution

The fourth proportional to 983.12, 1,473.78 and 333.56 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.12 : 1,473.78 = 333.56 : x
  2. Step 2: Convert to fraction form
    983.12/1,473.78 = 333.56/x
  3. Step 3: Cross multiply
    983.12x = 1,473.78 × 333.56
  4. Step 4: Simplify right side
    983.12x = 491,594.06
  5. Step 5: Solve for x
    x = 491,594.06/983.12
  6. Step 6: Final answer
    x = 500.03

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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.