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Finding the Fourth Proportional to 894.94, 1,343.62 and 865.78

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Solution

The fourth proportional to 894.94, 1,343.62 and 865.78 is: 1,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,343.62 = 865.78 : x
  2. Step 2: Convert to fraction form
    894.94/1,343.62 = 865.78/x
  3. Step 3: Cross multiply
    894.94x = 1,343.62 × 865.78
  4. Step 4: Simplify right side
    894.94x = 1,163,279.32
  5. Step 5: Solve for x
    x = 1,163,279.32/894.94
  6. Step 6: Final answer
    x = 1,299.84

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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.