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Finding the Fourth Proportional to 894.66, 1,341.78 and 850.74

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Solution

The fourth proportional to 894.66, 1,341.78 and 850.74 is: 1,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.66 : 1,341.78 = 850.74 : x
  2. Step 2: Convert to fraction form
    894.66/1,341.78 = 850.74/x
  3. Step 3: Cross multiply
    894.66x = 1,341.78 × 850.74
  4. Step 4: Simplify right side
    894.66x = 1,141,505.92
  5. Step 5: Solve for x
    x = 1,141,505.92/894.66
  6. Step 6: Final answer
    x = 1,275.91

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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.