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Finding the Fourth Proportional to 1,438.63, 2,158.09 and 398.63

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Solution

The fourth proportional to 1,438.63, 2,158.09 and 398.63 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.63 : 2,158.09 = 398.63 : x
  2. Step 2: Convert to fraction form
    1,438.63/2,158.09 = 398.63/x
  3. Step 3: Cross multiply
    1,438.63x = 2,158.09 × 398.63
  4. Step 4: Simplify right side
    1,438.63x = 860,283.82
  5. Step 5: Solve for x
    x = 860,283.82/1,438.63
  6. Step 6: Final answer
    x = 597.99

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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.