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Finding the Fourth Proportional to 494.37, 742.61 and 480.69

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Solution

The fourth proportional to 494.37, 742.61 and 480.69 is: 722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 742.61 = 480.69 : x
  2. Step 2: Convert to fraction form
    494.37/742.61 = 480.69/x
  3. Step 3: Cross multiply
    494.37x = 742.61 × 480.69
  4. Step 4: Simplify right side
    494.37x = 356,962.80
  5. Step 5: Solve for x
    x = 356,962.80/494.37
  6. Step 6: Final answer
    x = 722.06

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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.