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Finding the Fourth Proportional to 599.31, 899.21 and 325.33

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Solution

The fourth proportional to 599.31, 899.21 and 325.33 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 899.21 = 325.33 : x
  2. Step 2: Convert to fraction form
    599.31/899.21 = 325.33/x
  3. Step 3: Cross multiply
    599.31x = 899.21 × 325.33
  4. Step 4: Simplify right side
    599.31x = 292,538.55
  5. Step 5: Solve for x
    x = 292,538.55/599.31
  6. Step 6: Final answer
    x = 488.13

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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.