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Finding the Fourth Proportional to 1,612.10, 2,419.73 and 790.97

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Solution

The fourth proportional to 1,612.10, 2,419.73 and 790.97 is: 1,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.10 : 2,419.73 = 790.97 : x
  2. Step 2: Convert to fraction form
    1,612.10/2,419.73 = 790.97/x
  3. Step 3: Cross multiply
    1,612.10x = 2,419.73 × 790.97
  4. Step 4: Simplify right side
    1,612.10x = 1,913,917.78
  5. Step 5: Solve for x
    x = 1,913,917.78/1,612.10
  6. Step 6: Final answer
    x = 1,187.22

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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.