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Finding the Fourth Proportional to 649.09, 973.62 and 324.22

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Solution

The fourth proportional to 649.09, 973.62 and 324.22 is: 486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.62 = 324.22 : x
  2. Step 2: Convert to fraction form
    649.09/973.62 = 324.22/x
  3. Step 3: Cross multiply
    649.09x = 973.62 × 324.22
  4. Step 4: Simplify right side
    649.09x = 315,667.08
  5. Step 5: Solve for x
    x = 315,667.08/649.09
  6. Step 6: Final answer
    x = 486.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.