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Finding the Fourth Proportional to 833.41, 1,150.41 and 539.47

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Solution

The fourth proportional to 833.41, 1,150.41 and 539.47 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.41 : 1,150.41 = 539.47 : x
  2. Step 2: Convert to fraction form
    833.41/1,150.41 = 539.47/x
  3. Step 3: Cross multiply
    833.41x = 1,150.41 × 539.47
  4. Step 4: Simplify right side
    833.41x = 620,611.68
  5. Step 5: Solve for x
    x = 620,611.68/833.41
  6. Step 6: Final answer
    x = 744.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.