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Finding the Fourth Proportional to 599.56, 825.31 and 521.80

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Solution

The fourth proportional to 599.56, 825.31 and 521.80 is: 718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.56 : 825.31 = 521.80 : x
  2. Step 2: Convert to fraction form
    599.56/825.31 = 521.80/x
  3. Step 3: Cross multiply
    599.56x = 825.31 × 521.80
  4. Step 4: Simplify right side
    599.56x = 430,646.76
  5. Step 5: Solve for x
    x = 430,646.76/599.56
  6. Step 6: Final answer
    x = 718.27

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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.