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Finding the Fourth Proportional to 992.93, 1,489.46 and 627.21

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Solution

The fourth proportional to 992.93, 1,489.46 and 627.21 is: 940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,489.46 = 627.21 : x
  2. Step 2: Convert to fraction form
    992.93/1,489.46 = 627.21/x
  3. Step 3: Cross multiply
    992.93x = 1,489.46 × 627.21
  4. Step 4: Simplify right side
    992.93x = 934,201.07
  5. Step 5: Solve for x
    x = 934,201.07/992.93
  6. Step 6: Final answer
    x = 940.86

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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.