Home / 1,142.46-1,575.70-827.77

Finding the Fourth Proportional to 1,142.46, 1,575.70 and 827.77

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Solution

The fourth proportional to 1,142.46, 1,575.70 and 827.77 is: 1,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.46 : 1,575.70 = 827.77 : x
  2. Step 2: Convert to fraction form
    1,142.46/1,575.70 = 827.77/x
  3. Step 3: Cross multiply
    1,142.46x = 1,575.70 × 827.77
  4. Step 4: Simplify right side
    1,142.46x = 1,304,317.19
  5. Step 5: Solve for x
    x = 1,304,317.19/1,142.46
  6. Step 6: Final answer
    x = 1,141.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.