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Finding the Fourth Proportional to 1,212.27, 1,672.88 and 688.29

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Solution

The fourth proportional to 1,212.27, 1,672.88 and 688.29 is: 949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.27 : 1,672.88 = 688.29 : x
  2. Step 2: Convert to fraction form
    1,212.27/1,672.88 = 688.29/x
  3. Step 3: Cross multiply
    1,212.27x = 1,672.88 × 688.29
  4. Step 4: Simplify right side
    1,212.27x = 1,151,423.13
  5. Step 5: Solve for x
    x = 1,151,423.13/1,212.27
  6. Step 6: Final answer
    x = 949.81

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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.