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Finding the Fourth Proportional to 921.05, 1,271.25 and 627.02

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Solution

The fourth proportional to 921.05, 1,271.25 and 627.02 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.05 : 1,271.25 = 627.02 : x
  2. Step 2: Convert to fraction form
    921.05/1,271.25 = 627.02/x
  3. Step 3: Cross multiply
    921.05x = 1,271.25 × 627.02
  4. Step 4: Simplify right side
    921.05x = 797,092.82
  5. Step 5: Solve for x
    x = 797,092.82/921.05
  6. Step 6: Final answer
    x = 865.42

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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.