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Finding the Fourth Proportional to 495.19, 742.79 and 321.99

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Solution

The fourth proportional to 495.19, 742.79 and 321.99 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 742.79 = 321.99 : x
  2. Step 2: Convert to fraction form
    495.19/742.79 = 321.99/x
  3. Step 3: Cross multiply
    495.19x = 742.79 × 321.99
  4. Step 4: Simplify right side
    495.19x = 239,170.95
  5. Step 5: Solve for x
    x = 239,170.95/495.19
  6. Step 6: Final answer
    x = 482.99

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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.