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Finding the Fourth Proportional to 599.88, 828.72 and 490.80

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Solution

The fourth proportional to 599.88, 828.72 and 490.80 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.88 : 828.72 = 490.80 : x
  2. Step 2: Convert to fraction form
    599.88/828.72 = 490.80/x
  3. Step 3: Cross multiply
    599.88x = 828.72 × 490.80
  4. Step 4: Simplify right side
    599.88x = 406,735.78
  5. Step 5: Solve for x
    x = 406,735.78/599.88
  6. Step 6: Final answer
    x = 678.03

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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.