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Finding the Fourth Proportional to 1,769.73, 2,654.39 and 471.30

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Solution

The fourth proportional to 1,769.73, 2,654.39 and 471.30 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.73 : 2,654.39 = 471.30 : x
  2. Step 2: Convert to fraction form
    1,769.73/2,654.39 = 471.30/x
  3. Step 3: Cross multiply
    1,769.73x = 2,654.39 × 471.30
  4. Step 4: Simplify right side
    1,769.73x = 1,251,001.70
  5. Step 5: Solve for x
    x = 1,251,001.70/1,769.73
  6. Step 6: Final answer
    x = 706.89

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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.