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Finding the Fourth Proportional to 528.84, 793.74 and 255.12

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Solution

The fourth proportional to 528.84, 793.74 and 255.12 is: 382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 793.74 = 255.12 : x
  2. Step 2: Convert to fraction form
    528.84/793.74 = 255.12/x
  3. Step 3: Cross multiply
    528.84x = 793.74 × 255.12
  4. Step 4: Simplify right side
    528.84x = 202,498.95
  5. Step 5: Solve for x
    x = 202,498.95/528.84
  6. Step 6: Final answer
    x = 382.91

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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.