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Finding the Fourth Proportional to 599.33, 898.42 and 290.82

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Solution

The fourth proportional to 599.33, 898.42 and 290.82 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.33 : 898.42 = 290.82 : x
  2. Step 2: Convert to fraction form
    599.33/898.42 = 290.82/x
  3. Step 3: Cross multiply
    599.33x = 898.42 × 290.82
  4. Step 4: Simplify right side
    599.33x = 261,282.49
  5. Step 5: Solve for x
    x = 261,282.49/599.33
  6. Step 6: Final answer
    x = 435.96

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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.