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Finding the Fourth Proportional to 543.64, 813.81 and 327.64

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Solution

The fourth proportional to 543.64, 813.81 and 327.64 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 813.81 = 327.64 : x
  2. Step 2: Convert to fraction form
    543.64/813.81 = 327.64/x
  3. Step 3: Cross multiply
    543.64x = 813.81 × 327.64
  4. Step 4: Simplify right side
    543.64x = 266,636.71
  5. Step 5: Solve for x
    x = 266,636.71/543.64
  6. Step 6: Final answer
    x = 490.47

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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.