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Finding the Fourth Proportional to 1,186.92, 1,778.54 and 493.00

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Solution

The fourth proportional to 1,186.92, 1,778.54 and 493.00 is: 738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.92 : 1,778.54 = 493.00 : x
  2. Step 2: Convert to fraction form
    1,186.92/1,778.54 = 493.00/x
  3. Step 3: Cross multiply
    1,186.92x = 1,778.54 × 493.00
  4. Step 4: Simplify right side
    1,186.92x = 876,813.31
  5. Step 5: Solve for x
    x = 876,813.31/1,186.92
  6. Step 6: Final answer
    x = 738.73

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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.