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Finding the Fourth Proportional to 511.84, 768.30 and 328.78

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Solution

The fourth proportional to 511.84, 768.30 and 328.78 is: 493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 768.30 = 328.78 : x
  2. Step 2: Convert to fraction form
    511.84/768.30 = 328.78/x
  3. Step 3: Cross multiply
    511.84x = 768.30 × 328.78
  4. Step 4: Simplify right side
    511.84x = 252,601.67
  5. Step 5: Solve for x
    x = 252,601.67/511.84
  6. Step 6: Final answer
    x = 493.52

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1.5x scale

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.