Home / 1,534.24-2,299.46-711.38

Finding the Fourth Proportional to 1,534.24, 2,299.46 and 711.38

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Solution

The fourth proportional to 1,534.24, 2,299.46 and 711.38 is: 1,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.24 : 2,299.46 = 711.38 : x
  2. Step 2: Convert to fraction form
    1,534.24/2,299.46 = 711.38/x
  3. Step 3: Cross multiply
    1,534.24x = 2,299.46 × 711.38
  4. Step 4: Simplify right side
    1,534.24x = 1,635,789.85
  5. Step 5: Solve for x
    x = 1,635,789.85/1,534.24
  6. Step 6: Final answer
    x = 1,066.19

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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.