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Finding the Fourth Proportional to 852.04, 1,176.69 and 733.78

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Solution

The fourth proportional to 852.04, 1,176.69 and 733.78 is: 1,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,176.69 = 733.78 : x
  2. Step 2: Convert to fraction form
    852.04/1,176.69 = 733.78/x
  3. Step 3: Cross multiply
    852.04x = 1,176.69 × 733.78
  4. Step 4: Simplify right side
    852.04x = 863,431.59
  5. Step 5: Solve for x
    x = 863,431.59/852.04
  6. Step 6: Final answer
    x = 1,013.37

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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.