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Finding the Fourth Proportional to 546.21, 817.43 and 337.89

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Solution

The fourth proportional to 546.21, 817.43 and 337.89 is: 505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.21 : 817.43 = 337.89 : x
  2. Step 2: Convert to fraction form
    546.21/817.43 = 337.89/x
  3. Step 3: Cross multiply
    546.21x = 817.43 × 337.89
  4. Step 4: Simplify right side
    546.21x = 276,201.42
  5. Step 5: Solve for x
    x = 276,201.42/546.21
  6. Step 6: Final answer
    x = 505.67

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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.