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Finding the Fourth Proportional to 1,250.86, 1,872.82 and 812.62

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Solution

The fourth proportional to 1,250.86, 1,872.82 and 812.62 is: 1,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.86 : 1,872.82 = 812.62 : x
  2. Step 2: Convert to fraction form
    1,250.86/1,872.82 = 812.62/x
  3. Step 3: Cross multiply
    1,250.86x = 1,872.82 × 812.62
  4. Step 4: Simplify right side
    1,250.86x = 1,521,883.81
  5. Step 5: Solve for x
    x = 1,521,883.81/1,250.86
  6. Step 6: Final answer
    x = 1,216.67

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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.