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Finding the Fourth Proportional to 810.90, 1,215.20 and 627.44

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Solution

The fourth proportional to 810.90, 1,215.20 and 627.44 is: 940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.90 : 1,215.20 = 627.44 : x
  2. Step 2: Convert to fraction form
    810.90/1,215.20 = 627.44/x
  3. Step 3: Cross multiply
    810.90x = 1,215.20 × 627.44
  4. Step 4: Simplify right side
    810.90x = 762,465.09
  5. Step 5: Solve for x
    x = 762,465.09/810.90
  6. Step 6: Final answer
    x = 940.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.