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Finding the Fourth Proportional to 495.61, 742.33 and 321.67

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Solution

The fourth proportional to 495.61, 742.33 and 321.67 is: 481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.61 : 742.33 = 321.67 : x
  2. Step 2: Convert to fraction form
    495.61/742.33 = 321.67/x
  3. Step 3: Cross multiply
    495.61x = 742.33 × 321.67
  4. Step 4: Simplify right side
    495.61x = 238,785.26
  5. Step 5: Solve for x
    x = 238,785.26/495.61
  6. Step 6: Final answer
    x = 481.80

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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.