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Finding the Fourth Proportional to 599.38, 899.08 and 382.46

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Solution

The fourth proportional to 599.38, 899.08 and 382.46 is: 573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.38 : 899.08 = 382.46 : x
  2. Step 2: Convert to fraction form
    599.38/899.08 = 382.46/x
  3. Step 3: Cross multiply
    599.38x = 899.08 × 382.46
  4. Step 4: Simplify right side
    599.38x = 343,862.14
  5. Step 5: Solve for x
    x = 343,862.14/599.38
  6. Step 6: Final answer
    x = 573.70

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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.