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Finding the Fourth Proportional to 599.70, 899.43 and 166.75

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Solution

The fourth proportional to 599.70, 899.43 and 166.75 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 899.43 = 166.75 : x
  2. Step 2: Convert to fraction form
    599.70/899.43 = 166.75/x
  3. Step 3: Cross multiply
    599.70x = 899.43 × 166.75
  4. Step 4: Simplify right side
    599.70x = 149,979.95
  5. Step 5: Solve for x
    x = 149,979.95/599.70
  6. Step 6: Final answer
    x = 250.09

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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.