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Finding the Fourth Proportional to 894.69, 1,341.09 and 851.49

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Solution

The fourth proportional to 894.69, 1,341.09 and 851.49 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,341.09 = 851.49 : x
  2. Step 2: Convert to fraction form
    894.69/1,341.09 = 851.49/x
  3. Step 3: Cross multiply
    894.69x = 1,341.09 × 851.49
  4. Step 4: Simplify right side
    894.69x = 1,141,924.72
  5. Step 5: Solve for x
    x = 1,141,924.72/894.69
  6. Step 6: Final answer
    x = 1,276.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.