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Finding the Fourth Proportional to 892.11, 1,230.96 and 555.84

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Solution

The fourth proportional to 892.11, 1,230.96 and 555.84 is: 766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.11 : 1,230.96 = 555.84 : x
  2. Step 2: Convert to fraction form
    892.11/1,230.96 = 555.84/x
  3. Step 3: Cross multiply
    892.11x = 1,230.96 × 555.84
  4. Step 4: Simplify right side
    892.11x = 684,216.81
  5. Step 5: Solve for x
    x = 684,216.81/892.11
  6. Step 6: Final answer
    x = 766.96

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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.