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Finding the Fourth Proportional to 922.50, 1,274.15 and 627.27

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Solution

The fourth proportional to 922.50, 1,274.15 and 627.27 is: 866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.50 : 1,274.15 = 627.27 : x
  2. Step 2: Convert to fraction form
    922.50/1,274.15 = 627.27/x
  3. Step 3: Cross multiply
    922.50x = 1,274.15 × 627.27
  4. Step 4: Simplify right side
    922.50x = 799,232.93
  5. Step 5: Solve for x
    x = 799,232.93/922.50
  6. Step 6: Final answer
    x = 866.38

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1.5x scale

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.