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Finding the Fourth Proportional to 1,614.48, 2,422.60 and 627.34

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Solution

The fourth proportional to 1,614.48, 2,422.60 and 627.34 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.48 : 2,422.60 = 627.34 : x
  2. Step 2: Convert to fraction form
    1,614.48/2,422.60 = 627.34/x
  3. Step 3: Cross multiply
    1,614.48x = 2,422.60 × 627.34
  4. Step 4: Simplify right side
    1,614.48x = 1,519,781.77
  5. Step 5: Solve for x
    x = 1,519,781.77/1,614.48
  6. Step 6: Final answer
    x = 941.34

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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.