Home / 1,215.38-1,823.48-599.52

Finding the Fourth Proportional to 1,215.38, 1,823.48 and 599.52

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Solution

The fourth proportional to 1,215.38, 1,823.48 and 599.52 is: 899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.38 : 1,823.48 = 599.52 : x
  2. Step 2: Convert to fraction form
    1,215.38/1,823.48 = 599.52/x
  3. Step 3: Cross multiply
    1,215.38x = 1,823.48 × 599.52
  4. Step 4: Simplify right side
    1,215.38x = 1,093,212.73
  5. Step 5: Solve for x
    x = 1,093,212.73/1,215.38
  6. Step 6: Final answer
    x = 899.48

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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.