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Finding the Fourth Proportional to 450.22, 619.84 and 392

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Solution

The fourth proportional to 450.22, 619.84 and 392 is: 539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.22 : 619.84 = 392 : x
  2. Step 2: Convert to fraction form
    450.22/619.84 = 392/x
  3. Step 3: Cross multiply
    450.22x = 619.84 × 392
  4. Step 4: Simplify right side
    450.22x = 242,977.28
  5. Step 5: Solve for x
    x = 242,977.28/450.22
  6. Step 6: Final answer
    x = 539.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.