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Finding the Fourth Proportional to 1,889.51, 2,834.33 and 656.69

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Solution

The fourth proportional to 1,889.51, 2,834.33 and 656.69 is: 985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.51 : 2,834.33 = 656.69 : x
  2. Step 2: Convert to fraction form
    1,889.51/2,834.33 = 656.69/x
  3. Step 3: Cross multiply
    1,889.51x = 2,834.33 × 656.69
  4. Step 4: Simplify right side
    1,889.51x = 1,861,258.71
  5. Step 5: Solve for x
    x = 1,861,258.71/1,889.51
  6. Step 6: Final answer
    x = 985.05

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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.