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Finding the Fourth Proportional to 772.45, 1,159.45 and 685.17

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Solution

The fourth proportional to 772.45, 1,159.45 and 685.17 is: 1,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,159.45 = 685.17 : x
  2. Step 2: Convert to fraction form
    772.45/1,159.45 = 685.17/x
  3. Step 3: Cross multiply
    772.45x = 1,159.45 × 685.17
  4. Step 4: Simplify right side
    772.45x = 794,415.74
  5. Step 5: Solve for x
    x = 794,415.74/772.45
  6. Step 6: Final answer
    x = 1,028.44

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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.