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Finding the Fourth Proportional to 546.75, 820.04 and 383.94

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Solution

The fourth proportional to 546.75, 820.04 and 383.94 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 820.04 = 383.94 : x
  2. Step 2: Convert to fraction form
    546.75/820.04 = 383.94/x
  3. Step 3: Cross multiply
    546.75x = 820.04 × 383.94
  4. Step 4: Simplify right side
    546.75x = 314,844.24
  5. Step 5: Solve for x
    x = 314,844.24/546.75
  6. Step 6: Final answer
    x = 575.85

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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.