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Finding the Fourth Proportional to 922.09, 1,274.06 and 628.67

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Solution

The fourth proportional to 922.09, 1,274.06 and 628.67 is: 868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.09 : 1,274.06 = 628.67 : x
  2. Step 2: Convert to fraction form
    922.09/1,274.06 = 628.67/x
  3. Step 3: Cross multiply
    922.09x = 1,274.06 × 628.67
  4. Step 4: Simplify right side
    922.09x = 800,963.30
  5. Step 5: Solve for x
    x = 800,963.30/922.09
  6. Step 6: Final answer
    x = 868.64

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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.