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Finding the Fourth Proportional to 983.32, 1,474.09 and 398.23

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Solution

The fourth proportional to 983.32, 1,474.09 and 398.23 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.32 : 1,474.09 = 398.23 : x
  2. Step 2: Convert to fraction form
    983.32/1,474.09 = 398.23/x
  3. Step 3: Cross multiply
    983.32x = 1,474.09 × 398.23
  4. Step 4: Simplify right side
    983.32x = 587,026.86
  5. Step 5: Solve for x
    x = 587,026.86/983.32
  6. Step 6: Final answer
    x = 596.98

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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.