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Finding the Fourth Proportional to 833.51, 1,150.79 and 519.23

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Solution

The fourth proportional to 833.51, 1,150.79 and 519.23 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.51 : 1,150.79 = 519.23 : x
  2. Step 2: Convert to fraction form
    833.51/1,150.79 = 519.23/x
  3. Step 3: Cross multiply
    833.51x = 1,150.79 × 519.23
  4. Step 4: Simplify right side
    833.51x = 597,524.69
  5. Step 5: Solve for x
    x = 597,524.69/833.51
  6. Step 6: Final answer
    x = 716.88

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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.