Home / 1,199.35-1,799.27-506.02

Finding the Fourth Proportional to 1,199.35, 1,799.27 and 506.02

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Solution

The fourth proportional to 1,199.35, 1,799.27 and 506.02 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.35 : 1,799.27 = 506.02 : x
  2. Step 2: Convert to fraction form
    1,199.35/1,799.27 = 506.02/x
  3. Step 3: Cross multiply
    1,199.35x = 1,799.27 × 506.02
  4. Step 4: Simplify right side
    1,199.35x = 910,461.47
  5. Step 5: Solve for x
    x = 910,461.47/1,199.35
  6. Step 6: Final answer
    x = 759.13

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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.