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Finding the Fourth Proportional to 780.26, 1,171.07 and 369.59

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Solution

The fourth proportional to 780.26, 1,171.07 and 369.59 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,171.07 = 369.59 : x
  2. Step 2: Convert to fraction form
    780.26/1,171.07 = 369.59/x
  3. Step 3: Cross multiply
    780.26x = 1,171.07 × 369.59
  4. Step 4: Simplify right side
    780.26x = 432,813.91
  5. Step 5: Solve for x
    x = 432,813.91/780.26
  6. Step 6: Final answer
    x = 554.70

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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.