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Finding the Fourth Proportional to 537.09, 804.90 and 262.67

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Solution

The fourth proportional to 537.09, 804.90 and 262.67 is: 393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 804.90 = 262.67 : x
  2. Step 2: Convert to fraction form
    537.09/804.90 = 262.67/x
  3. Step 3: Cross multiply
    537.09x = 804.90 × 262.67
  4. Step 4: Simplify right side
    537.09x = 211,419.06
  5. Step 5: Solve for x
    x = 211,419.06/537.09
  6. Step 6: Final answer
    x = 393.64

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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.