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Finding the Fourth Proportional to 983.06, 1,473.37 and 496.25

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Solution

The fourth proportional to 983.06, 1,473.37 and 496.25 is: 743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.06 : 1,473.37 = 496.25 : x
  2. Step 2: Convert to fraction form
    983.06/1,473.37 = 496.25/x
  3. Step 3: Cross multiply
    983.06x = 1,473.37 × 496.25
  4. Step 4: Simplify right side
    983.06x = 731,151.26
  5. Step 5: Solve for x
    x = 731,151.26/983.06
  6. Step 6: Final answer
    x = 743.75

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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.