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Finding the Fourth Proportional to 780.94, 1,170.87 and 369.73

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Solution

The fourth proportional to 780.94, 1,170.87 and 369.73 is: 554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.94 : 1,170.87 = 369.73 : x
  2. Step 2: Convert to fraction form
    780.94/1,170.87 = 369.73/x
  3. Step 3: Cross multiply
    780.94x = 1,170.87 × 369.73
  4. Step 4: Simplify right side
    780.94x = 432,905.77
  5. Step 5: Solve for x
    x = 432,905.77/780.94
  6. Step 6: Final answer
    x = 554.34

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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.