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Finding the Fourth Proportional to 922.75, 1,274.49 and 627.52

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Solution

The fourth proportional to 922.75, 1,274.49 and 627.52 is: 866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.75 : 1,274.49 = 627.52 : x
  2. Step 2: Convert to fraction form
    922.75/1,274.49 = 627.52/x
  3. Step 3: Cross multiply
    922.75x = 1,274.49 × 627.52
  4. Step 4: Simplify right side
    922.75x = 799,767.96
  5. Step 5: Solve for x
    x = 799,767.96/922.75
  6. Step 6: Final answer
    x = 866.72

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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.