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Finding the Fourth Proportional to 772.33, 1,065.77 and 440.80

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Solution

The fourth proportional to 772.33, 1,065.77 and 440.80 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.33 : 1,065.77 = 440.80 : x
  2. Step 2: Convert to fraction form
    772.33/1,065.77 = 440.80/x
  3. Step 3: Cross multiply
    772.33x = 1,065.77 × 440.80
  4. Step 4: Simplify right side
    772.33x = 469,791.42
  5. Step 5: Solve for x
    x = 469,791.42/772.33
  6. Step 6: Final answer
    x = 608.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.