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Finding the Fourth Proportional to 529.80, 793.94 and 255.57

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Solution

The fourth proportional to 529.80, 793.94 and 255.57 is: 382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 793.94 = 255.57 : x
  2. Step 2: Convert to fraction form
    529.80/793.94 = 255.57/x
  3. Step 3: Cross multiply
    529.80x = 793.94 × 255.57
  4. Step 4: Simplify right side
    529.80x = 202,908.95
  5. Step 5: Solve for x
    x = 202,908.95/529.80
  6. Step 6: Final answer
    x = 382.99

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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.