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Finding the Fourth Proportional to 1,638.94, 2,458.62 and 599.26

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Solution

The fourth proportional to 1,638.94, 2,458.62 and 599.26 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.94 : 2,458.62 = 599.26 : x
  2. Step 2: Convert to fraction form
    1,638.94/2,458.62 = 599.26/x
  3. Step 3: Cross multiply
    1,638.94x = 2,458.62 × 599.26
  4. Step 4: Simplify right side
    1,638.94x = 1,473,352.62
  5. Step 5: Solve for x
    x = 1,473,352.62/1,638.94
  6. Step 6: Final answer
    x = 898.97

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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.