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Finding the Fourth Proportional to 543.86, 816.21 and 283.92

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Solution

The fourth proportional to 543.86, 816.21 and 283.92 is: 426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 816.21 = 283.92 : x
  2. Step 2: Convert to fraction form
    543.86/816.21 = 283.92/x
  3. Step 3: Cross multiply
    543.86x = 816.21 × 283.92
  4. Step 4: Simplify right side
    543.86x = 231,739.87
  5. Step 5: Solve for x
    x = 231,739.87/543.86
  6. Step 6: Final answer
    x = 426.10

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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.