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Finding the Fourth Proportional to 541.86, 812.23 and 388.77

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Solution

The fourth proportional to 541.86, 812.23 and 388.77 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 812.23 = 388.77 : x
  2. Step 2: Convert to fraction form
    541.86/812.23 = 388.77/x
  3. Step 3: Cross multiply
    541.86x = 812.23 × 388.77
  4. Step 4: Simplify right side
    541.86x = 315,770.66
  5. Step 5: Solve for x
    x = 315,770.66/541.86
  6. Step 6: Final answer
    x = 582.75

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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.