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Finding the Fourth Proportional to 926.84, 1,379.34 and 892.28

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Solution

The fourth proportional to 926.84, 1,379.34 and 892.28 is: 1,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.84 : 1,379.34 = 892.28 : x
  2. Step 2: Convert to fraction form
    926.84/1,379.34 = 892.28/x
  3. Step 3: Cross multiply
    926.84x = 1,379.34 × 892.28
  4. Step 4: Simplify right side
    926.84x = 1,230,757.50
  5. Step 5: Solve for x
    x = 1,230,757.50/926.84
  6. Step 6: Final answer
    x = 1,327.91

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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.