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Finding the Fourth Proportional to 543.14, 813.06 and 327.14

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Solution

The fourth proportional to 543.14, 813.06 and 327.14 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 813.06 = 327.14 : x
  2. Step 2: Convert to fraction form
    543.14/813.06 = 327.14/x
  3. Step 3: Cross multiply
    543.14x = 813.06 × 327.14
  4. Step 4: Simplify right side
    543.14x = 265,984.45
  5. Step 5: Solve for x
    x = 265,984.45/543.14
  6. Step 6: Final answer
    x = 489.72

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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.