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Finding the Fourth Proportional to 1,661.63, 2,488.33 and 966.19

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Solution

The fourth proportional to 1,661.63, 2,488.33 and 966.19 is: 1,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.63 : 2,488.33 = 966.19 : x
  2. Step 2: Convert to fraction form
    1,661.63/2,488.33 = 966.19/x
  3. Step 3: Cross multiply
    1,661.63x = 2,488.33 × 966.19
  4. Step 4: Simplify right side
    1,661.63x = 2,404,199.56
  5. Step 5: Solve for x
    x = 2,404,199.56/1,661.63
  6. Step 6: Final answer
    x = 1,446.89

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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.