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Finding the Fourth Proportional to 812.07, 1,120.36 and 733.50

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Solution

The fourth proportional to 812.07, 1,120.36 and 733.50 is: 1,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.07 : 1,120.36 = 733.50 : x
  2. Step 2: Convert to fraction form
    812.07/1,120.36 = 733.50/x
  3. Step 3: Cross multiply
    812.07x = 1,120.36 × 733.50
  4. Step 4: Simplify right side
    812.07x = 821,784.06
  5. Step 5: Solve for x
    x = 821,784.06/812.07
  6. Step 6: Final answer
    x = 1,011.96

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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.