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Finding the Fourth Proportional to 921.90, 1,272.90 and 627.06

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Solution

The fourth proportional to 921.90, 1,272.90 and 627.06 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.90 : 1,272.90 = 627.06 : x
  2. Step 2: Convert to fraction form
    921.90/1,272.90 = 627.06/x
  3. Step 3: Cross multiply
    921.90x = 1,272.90 × 627.06
  4. Step 4: Simplify right side
    921.90x = 798,184.67
  5. Step 5: Solve for x
    x = 798,184.67/921.90
  6. Step 6: Final answer
    x = 865.80

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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.