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Finding the Fourth Proportional to 529.50, 794.30 and 298.26

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Solution

The fourth proportional to 529.50, 794.30 and 298.26 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 794.30 = 298.26 : x
  2. Step 2: Convert to fraction form
    529.50/794.30 = 298.26/x
  3. Step 3: Cross multiply
    529.50x = 794.30 × 298.26
  4. Step 4: Simplify right side
    529.50x = 236,906.43
  5. Step 5: Solve for x
    x = 236,906.43/529.50
  6. Step 6: Final answer
    x = 447.42

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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.