Home / 1,592.90-2,198.31-1,199.30

Finding the Fourth Proportional to 1,592.90, 2,198.31 and 1,199.30

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Solution

The fourth proportional to 1,592.90, 2,198.31 and 1,199.30 is: 1,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.90 : 2,198.31 = 1,199.30 : x
  2. Step 2: Convert to fraction form
    1,592.90/2,198.31 = 1,199.30/x
  3. Step 3: Cross multiply
    1,592.90x = 2,198.31 × 1,199.30
  4. Step 4: Simplify right side
    1,592.90x = 2,636,433.18
  5. Step 5: Solve for x
    x = 2,636,433.18/1,592.90
  6. Step 6: Final answer
    x = 1,655.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.