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Finding the Fourth Proportional to 982.51, 1,473.86 and 324.12

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Solution

The fourth proportional to 982.51, 1,473.86 and 324.12 is: 486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.51 : 1,473.86 = 324.12 : x
  2. Step 2: Convert to fraction form
    982.51/1,473.86 = 324.12/x
  3. Step 3: Cross multiply
    982.51x = 1,473.86 × 324.12
  4. Step 4: Simplify right side
    982.51x = 477,707.50
  5. Step 5: Solve for x
    x = 477,707.50/982.51
  6. Step 6: Final answer
    x = 486.21

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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.