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Finding the Fourth Proportional to 1,576.38, 2,365.17 and 711.30

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Solution

The fourth proportional to 1,576.38, 2,365.17 and 711.30 is: 1,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.38 : 2,365.17 = 711.30 : x
  2. Step 2: Convert to fraction form
    1,576.38/2,365.17 = 711.30/x
  3. Step 3: Cross multiply
    1,576.38x = 2,365.17 × 711.30
  4. Step 4: Simplify right side
    1,576.38x = 1,682,345.42
  5. Step 5: Solve for x
    x = 1,682,345.42/1,576.38
  6. Step 6: Final answer
    x = 1,067.22

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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.