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Finding the Fourth Proportional to 984.24, 1,473.53 and 885.83

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Solution

The fourth proportional to 984.24, 1,473.53 and 885.83 is: 1,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.24 : 1,473.53 = 885.83 : x
  2. Step 2: Convert to fraction form
    984.24/1,473.53 = 885.83/x
  3. Step 3: Cross multiply
    984.24x = 1,473.53 × 885.83
  4. Step 4: Simplify right side
    984.24x = 1,305,285.28
  5. Step 5: Solve for x
    x = 1,305,285.28/984.24
  6. Step 6: Final answer
    x = 1,326.19

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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.