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Finding the Fourth Proportional to 1,189.82, 1,785.68 and 843.50

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Solution

The fourth proportional to 1,189.82, 1,785.68 and 843.50 is: 1,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.82 : 1,785.68 = 843.50 : x
  2. Step 2: Convert to fraction form
    1,189.82/1,785.68 = 843.50/x
  3. Step 3: Cross multiply
    1,189.82x = 1,785.68 × 843.50
  4. Step 4: Simplify right side
    1,189.82x = 1,506,207.93
  5. Step 5: Solve for x
    x = 1,506,207.93/1,189.82
  6. Step 6: Final answer
    x = 1,265.92

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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.