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Finding the Fourth Proportional to 847.91, 1,265.72 and 733.09

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Solution

The fourth proportional to 847.91, 1,265.72 and 733.09 is: 1,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.91 : 1,265.72 = 733.09 : x
  2. Step 2: Convert to fraction form
    847.91/1,265.72 = 733.09/x
  3. Step 3: Cross multiply
    847.91x = 1,265.72 × 733.09
  4. Step 4: Simplify right side
    847.91x = 927,879.85
  5. Step 5: Solve for x
    x = 927,879.85/847.91
  6. Step 6: Final answer
    x = 1,094.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.