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Finding the Fourth Proportional to 547.05, 820.73 and 346.83

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Solution

The fourth proportional to 547.05, 820.73 and 346.83 is: 520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 820.73 = 346.83 : x
  2. Step 2: Convert to fraction form
    547.05/820.73 = 346.83/x
  3. Step 3: Cross multiply
    547.05x = 820.73 × 346.83
  4. Step 4: Simplify right side
    547.05x = 284,656.19
  5. Step 5: Solve for x
    x = 284,656.19/547.05
  6. Step 6: Final answer
    x = 520.34

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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.