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Finding the Fourth Proportional to 981.63, 1,353.94 and 678.92

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Solution

The fourth proportional to 981.63, 1,353.94 and 678.92 is: 936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.63 : 1,353.94 = 678.92 : x
  2. Step 2: Convert to fraction form
    981.63/1,353.94 = 678.92/x
  3. Step 3: Cross multiply
    981.63x = 1,353.94 × 678.92
  4. Step 4: Simplify right side
    981.63x = 919,208.48
  5. Step 5: Solve for x
    x = 919,208.48/981.63
  6. Step 6: Final answer
    x = 936.41

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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.