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Finding the Fourth Proportional to 543.56, 813.90 and 399.56

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Solution

The fourth proportional to 543.56, 813.90 and 399.56 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 813.90 = 399.56 : x
  2. Step 2: Convert to fraction form
    543.56/813.90 = 399.56/x
  3. Step 3: Cross multiply
    543.56x = 813.90 × 399.56
  4. Step 4: Simplify right side
    543.56x = 325,201.88
  5. Step 5: Solve for x
    x = 325,201.88/543.56
  6. Step 6: Final answer
    x = 598.28

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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.