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Finding the Fourth Proportional to 983.37, 1,473.03 and 674.37

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Solution

The fourth proportional to 983.37, 1,473.03 and 674.37 is: 1,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.37 : 1,473.03 = 674.37 : x
  2. Step 2: Convert to fraction form
    983.37/1,473.03 = 674.37/x
  3. Step 3: Cross multiply
    983.37x = 1,473.03 × 674.37
  4. Step 4: Simplify right side
    983.37x = 993,367.24
  5. Step 5: Solve for x
    x = 993,367.24/983.37
  6. Step 6: Final answer
    x = 1,010.17

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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.