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Finding the Fourth Proportional to 1,241.29, 1,859.82 and 892.99

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Solution

The fourth proportional to 1,241.29, 1,859.82 and 892.99 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.29 : 1,859.82 = 892.99 : x
  2. Step 2: Convert to fraction form
    1,241.29/1,859.82 = 892.99/x
  3. Step 3: Cross multiply
    1,241.29x = 1,859.82 × 892.99
  4. Step 4: Simplify right side
    1,241.29x = 1,660,800.66
  5. Step 5: Solve for x
    x = 1,660,800.66/1,241.29
  6. Step 6: Final answer
    x = 1,337.96

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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.