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Finding the Fourth Proportional to 599.75, 899.68 and 166.91

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Solution

The fourth proportional to 599.75, 899.68 and 166.91 is: 250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.75 : 899.68 = 166.91 : x
  2. Step 2: Convert to fraction form
    599.75/899.68 = 166.91/x
  3. Step 3: Cross multiply
    599.75x = 899.68 × 166.91
  4. Step 4: Simplify right side
    599.75x = 150,165.59
  5. Step 5: Solve for x
    x = 150,165.59/599.75
  6. Step 6: Final answer
    x = 250.38

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1.5x scale

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.