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Finding the Fourth Proportional to 1,769.76, 2,654.67 and 471.24

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Solution

The fourth proportional to 1,769.76, 2,654.67 and 471.24 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.76 : 2,654.67 = 471.24 : x
  2. Step 2: Convert to fraction form
    1,769.76/2,654.67 = 471.24/x
  3. Step 3: Cross multiply
    1,769.76x = 2,654.67 × 471.24
  4. Step 4: Simplify right side
    1,769.76x = 1,250,986.69
  5. Step 5: Solve for x
    x = 1,250,986.69/1,769.76
  6. Step 6: Final answer
    x = 706.87

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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.