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Finding the Fourth Proportional to 982.24, 1,476.06 and 918.03

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Solution

The fourth proportional to 982.24, 1,476.06 and 918.03 is: 1,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.24 : 1,476.06 = 918.03 : x
  2. Step 2: Convert to fraction form
    982.24/1,476.06 = 918.03/x
  3. Step 3: Cross multiply
    982.24x = 1,476.06 × 918.03
  4. Step 4: Simplify right side
    982.24x = 1,355,059.98
  5. Step 5: Solve for x
    x = 1,355,059.98/982.24
  6. Step 6: Final answer
    x = 1,379.56

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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.