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Finding the Fourth Proportional to 599.80, 899.64 and 167.02

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Solution

The fourth proportional to 599.80, 899.64 and 167.02 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 899.64 = 167.02 : x
  2. Step 2: Convert to fraction form
    599.80/899.64 = 167.02/x
  3. Step 3: Cross multiply
    599.80x = 899.64 × 167.02
  4. Step 4: Simplify right side
    599.80x = 150,257.87
  5. Step 5: Solve for x
    x = 150,257.87/599.80
  6. Step 6: Final answer
    x = 250.51

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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.