Home / 1,199.40-1,799.76-469.02

Finding the Fourth Proportional to 1,199.40, 1,799.76 and 469.02

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Solution

The fourth proportional to 1,199.40, 1,799.76 and 469.02 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,799.76 = 469.02 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,799.76 = 469.02/x
  3. Step 3: Cross multiply
    1,199.40x = 1,799.76 × 469.02
  4. Step 4: Simplify right side
    1,199.40x = 844,123.44
  5. Step 5: Solve for x
    x = 844,123.44/1,199.40
  6. Step 6: Final answer
    x = 703.79

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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.