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Finding the Fourth Proportional to 833.72, 1,149.88 and 777.83

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Solution

The fourth proportional to 833.72, 1,149.88 and 777.83 is: 1,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.72 : 1,149.88 = 777.83 : x
  2. Step 2: Convert to fraction form
    833.72/1,149.88 = 777.83/x
  3. Step 3: Cross multiply
    833.72x = 1,149.88 × 777.83
  4. Step 4: Simplify right side
    833.72x = 894,407.27
  5. Step 5: Solve for x
    x = 894,407.27/833.72
  6. Step 6: Final answer
    x = 1,072.79

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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.