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Finding the Fourth Proportional to 1,614.60, 2,419.20 and 791.10

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Solution

The fourth proportional to 1,614.60, 2,419.20 and 791.10 is: 1,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.60 : 2,419.20 = 791.10 : x
  2. Step 2: Convert to fraction form
    1,614.60/2,419.20 = 791.10/x
  3. Step 3: Cross multiply
    1,614.60x = 2,419.20 × 791.10
  4. Step 4: Simplify right side
    1,614.60x = 1,913,829.12
  5. Step 5: Solve for x
    x = 1,913,829.12/1,614.60
  6. Step 6: Final answer
    x = 1,185.33

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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.