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Finding the Fourth Proportional to 789.87, 1,186.05 and 465.45

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Solution

The fourth proportional to 789.87, 1,186.05 and 465.45 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.87 : 1,186.05 = 465.45 : x
  2. Step 2: Convert to fraction form
    789.87/1,186.05 = 465.45/x
  3. Step 3: Cross multiply
    789.87x = 1,186.05 × 465.45
  4. Step 4: Simplify right side
    789.87x = 552,046.97
  5. Step 5: Solve for x
    x = 552,046.97/789.87
  6. Step 6: Final answer
    x = 698.91

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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.