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Finding the Fourth Proportional to 543.56, 813.78 and 412.80

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Solution

The fourth proportional to 543.56, 813.78 and 412.80 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 813.78 = 412.80 : x
  2. Step 2: Convert to fraction form
    543.56/813.78 = 412.80/x
  3. Step 3: Cross multiply
    543.56x = 813.78 × 412.80
  4. Step 4: Simplify right side
    543.56x = 335,928.38
  5. Step 5: Solve for x
    x = 335,928.38/543.56
  6. Step 6: Final answer
    x = 618.02

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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.