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Finding the Fourth Proportional to 983.80, 1,473 and 550.18

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Solution

The fourth proportional to 983.80, 1,473 and 550.18 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.80 : 1,473 = 550.18 : x
  2. Step 2: Convert to fraction form
    983.80/1,473 = 550.18/x
  3. Step 3: Cross multiply
    983.80x = 1,473 × 550.18
  4. Step 4: Simplify right side
    983.80x = 810,415.14
  5. Step 5: Solve for x
    x = 810,415.14/983.80
  6. Step 6: Final answer
    x = 823.76

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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.