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Finding the Fourth Proportional to 772.75, 1,159.14 and 259.75

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Solution

The fourth proportional to 772.75, 1,159.14 and 259.75 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,159.14 = 259.75 : x
  2. Step 2: Convert to fraction form
    772.75/1,159.14 = 259.75/x
  3. Step 3: Cross multiply
    772.75x = 1,159.14 × 259.75
  4. Step 4: Simplify right side
    772.75x = 301,085.32
  5. Step 5: Solve for x
    x = 301,085.32/772.75
  6. Step 6: Final answer
    x = 389.63

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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.