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Finding the Fourth Proportional to 983.03, 1,474.19 and 289.49

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Solution

The fourth proportional to 983.03, 1,474.19 and 289.49 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.03 : 1,474.19 = 289.49 : x
  2. Step 2: Convert to fraction form
    983.03/1,474.19 = 289.49/x
  3. Step 3: Cross multiply
    983.03x = 1,474.19 × 289.49
  4. Step 4: Simplify right side
    983.03x = 426,754.44
  5. Step 5: Solve for x
    x = 426,754.44/983.03
  6. Step 6: Final answer
    x = 434.12

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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.