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Finding the Fourth Proportional to 1,527.81, 2,288.27 and 704.85

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Solution

The fourth proportional to 1,527.81, 2,288.27 and 704.85 is: 1,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.81 : 2,288.27 = 704.85 : x
  2. Step 2: Convert to fraction form
    1,527.81/2,288.27 = 704.85/x
  3. Step 3: Cross multiply
    1,527.81x = 2,288.27 × 704.85
  4. Step 4: Simplify right side
    1,527.81x = 1,612,872.14
  5. Step 5: Solve for x
    x = 1,612,872.14/1,527.81
  6. Step 6: Final answer
    x = 1,055.68

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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.