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Finding the Fourth Proportional to 790.89, 1,186.82 and 380.45

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Solution

The fourth proportional to 790.89, 1,186.82 and 380.45 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.89 : 1,186.82 = 380.45 : x
  2. Step 2: Convert to fraction form
    790.89/1,186.82 = 380.45/x
  3. Step 3: Cross multiply
    790.89x = 1,186.82 × 380.45
  4. Step 4: Simplify right side
    790.89x = 451,520.69
  5. Step 5: Solve for x
    x = 451,520.69/790.89
  6. Step 6: Final answer
    x = 570.91

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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.