Home / 1,199.07-1,799.15-506.25

Finding the Fourth Proportional to 1,199.07, 1,799.15 and 506.25

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Solution

The fourth proportional to 1,199.07, 1,799.15 and 506.25 is: 759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.07 : 1,799.15 = 506.25 : x
  2. Step 2: Convert to fraction form
    1,199.07/1,799.15 = 506.25/x
  3. Step 3: Cross multiply
    1,199.07x = 1,799.15 × 506.25
  4. Step 4: Simplify right side
    1,199.07x = 910,817.16
  5. Step 5: Solve for x
    x = 910,817.16/1,199.07
  6. Step 6: Final answer
    x = 759.60

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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.