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Finding the Fourth Proportional to 529.82, 794.37 and 347.30

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Solution

The fourth proportional to 529.82, 794.37 and 347.30 is: 520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 794.37 = 347.30 : x
  2. Step 2: Convert to fraction form
    529.82/794.37 = 347.30/x
  3. Step 3: Cross multiply
    529.82x = 794.37 × 347.30
  4. Step 4: Simplify right side
    529.82x = 275,884.70
  5. Step 5: Solve for x
    x = 275,884.70/529.82
  6. Step 6: Final answer
    x = 520.71

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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.