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Finding the Fourth Proportional to 780.26, 1,169.36 and 651.09

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Solution

The fourth proportional to 780.26, 1,169.36 and 651.09 is: 975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,169.36 = 651.09 : x
  2. Step 2: Convert to fraction form
    780.26/1,169.36 = 651.09/x
  3. Step 3: Cross multiply
    780.26x = 1,169.36 × 651.09
  4. Step 4: Simplify right side
    780.26x = 761,357.43
  5. Step 5: Solve for x
    x = 761,357.43/780.26
  6. Step 6: Final answer
    x = 975.78

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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.