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Finding the Fourth Proportional to 599.80, 828.62 and 475.06

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Solution

The fourth proportional to 599.80, 828.62 and 475.06 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 828.62 = 475.06 : x
  2. Step 2: Convert to fraction form
    599.80/828.62 = 475.06/x
  3. Step 3: Cross multiply
    599.80x = 828.62 × 475.06
  4. Step 4: Simplify right side
    599.80x = 393,644.22
  5. Step 5: Solve for x
    x = 393,644.22/599.80
  6. Step 6: Final answer
    x = 656.29

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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.