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Finding the Fourth Proportional to 1,833.81, 2,749.05 and 678.75

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Solution

The fourth proportional to 1,833.81, 2,749.05 and 678.75 is: 1,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.81 : 2,749.05 = 678.75 : x
  2. Step 2: Convert to fraction form
    1,833.81/2,749.05 = 678.75/x
  3. Step 3: Cross multiply
    1,833.81x = 2,749.05 × 678.75
  4. Step 4: Simplify right side
    1,833.81x = 1,865,917.69
  5. Step 5: Solve for x
    x = 1,865,917.69/1,833.81
  6. Step 6: Final answer
    x = 1,017.51

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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.