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Finding the Fourth Proportional to 780.40, 1,170.33 and 369.73

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Solution

The fourth proportional to 780.40, 1,170.33 and 369.73 is: 554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.40 : 1,170.33 = 369.73 : x
  2. Step 2: Convert to fraction form
    780.40/1,170.33 = 369.73/x
  3. Step 3: Cross multiply
    780.40x = 1,170.33 × 369.73
  4. Step 4: Simplify right side
    780.40x = 432,706.11
  5. Step 5: Solve for x
    x = 432,706.11/780.40
  6. Step 6: Final answer
    x = 554.47

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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.