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Finding the Fourth Proportional to 649.82, 976.59 and 540.81

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Solution

The fourth proportional to 649.82, 976.59 and 540.81 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 976.59 = 540.81 : x
  2. Step 2: Convert to fraction form
    649.82/976.59 = 540.81/x
  3. Step 3: Cross multiply
    649.82x = 976.59 × 540.81
  4. Step 4: Simplify right side
    649.82x = 528,149.64
  5. Step 5: Solve for x
    x = 528,149.64/649.82
  6. Step 6: Final answer
    x = 812.77

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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.