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Finding the Fourth Proportional to 1,209.82, 1,814.96 and 661.70

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Solution

The fourth proportional to 1,209.82, 1,814.96 and 661.70 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.82 : 1,814.96 = 661.70 : x
  2. Step 2: Convert to fraction form
    1,209.82/1,814.96 = 661.70/x
  3. Step 3: Cross multiply
    1,209.82x = 1,814.96 × 661.70
  4. Step 4: Simplify right side
    1,209.82x = 1,200,959.03
  5. Step 5: Solve for x
    x = 1,200,959.03/1,209.82
  6. Step 6: Final answer
    x = 992.68

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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.