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Finding the Fourth Proportional to 892.12, 1,230.48 and 689.50

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Solution

The fourth proportional to 892.12, 1,230.48 and 689.50 is: 951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,230.48 = 689.50 : x
  2. Step 2: Convert to fraction form
    892.12/1,230.48 = 689.50/x
  3. Step 3: Cross multiply
    892.12x = 1,230.48 × 689.50
  4. Step 4: Simplify right side
    892.12x = 848,415.96
  5. Step 5: Solve for x
    x = 848,415.96/892.12
  6. Step 6: Final answer
    x = 951.01

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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.