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Finding the Fourth Proportional to 1,199.21, 1,799.01 and 711.59

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Solution

The fourth proportional to 1,199.21, 1,799.01 and 711.59 is: 1,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.21 : 1,799.01 = 711.59 : x
  2. Step 2: Convert to fraction form
    1,199.21/1,799.01 = 711.59/x
  3. Step 3: Cross multiply
    1,199.21x = 1,799.01 × 711.59
  4. Step 4: Simplify right side
    1,199.21x = 1,280,148.53
  5. Step 5: Solve for x
    x = 1,280,148.53/1,199.21
  6. Step 6: Final answer
    x = 1,067.50

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1.5x scale

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.