Home / 1,199.45-1,799.88-506.07

Finding the Fourth Proportional to 1,199.45, 1,799.88 and 506.07

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Solution

The fourth proportional to 1,199.45, 1,799.88 and 506.07 is: 759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.45 : 1,799.88 = 506.07 : x
  2. Step 2: Convert to fraction form
    1,199.45/1,799.88 = 506.07/x
  3. Step 3: Cross multiply
    1,199.45x = 1,799.88 × 506.07
  4. Step 4: Simplify right side
    1,199.45x = 910,865.27
  5. Step 5: Solve for x
    x = 910,865.27/1,199.45
  6. Step 6: Final answer
    x = 759.41

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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.