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Finding the Fourth Proportional to 833.85, 1,150.31 and 539.37

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Solution

The fourth proportional to 833.85, 1,150.31 and 539.37 is: 744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.85 : 1,150.31 = 539.37 : x
  2. Step 2: Convert to fraction form
    833.85/1,150.31 = 539.37/x
  3. Step 3: Cross multiply
    833.85x = 1,150.31 × 539.37
  4. Step 4: Simplify right side
    833.85x = 620,440.01
  5. Step 5: Solve for x
    x = 620,440.01/833.85
  6. Step 6: Final answer
    x = 744.07

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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.