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Finding the Fourth Proportional to 543.06, 812.76 and 326.79

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Solution

The fourth proportional to 543.06, 812.76 and 326.79 is: 489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 812.76 = 326.79 : x
  2. Step 2: Convert to fraction form
    543.06/812.76 = 326.79/x
  3. Step 3: Cross multiply
    543.06x = 812.76 × 326.79
  4. Step 4: Simplify right side
    543.06x = 265,601.84
  5. Step 5: Solve for x
    x = 265,601.84/543.06
  6. Step 6: Final answer
    x = 489.08

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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.