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Finding the Fourth Proportional to 543.18, 818.81 and 511.86

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Solution

The fourth proportional to 543.18, 818.81 and 511.86 is: 771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.18 : 818.81 = 511.86 : x
  2. Step 2: Convert to fraction form
    543.18/818.81 = 511.86/x
  3. Step 3: Cross multiply
    543.18x = 818.81 × 511.86
  4. Step 4: Simplify right side
    543.18x = 419,113.53
  5. Step 5: Solve for x
    x = 419,113.53/543.18
  6. Step 6: Final answer
    x = 771.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.