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Finding the Fourth Proportional to 772.39, 1,157.22 and 407.43

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Solution

The fourth proportional to 772.39, 1,157.22 and 407.43 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.39 : 1,157.22 = 407.43 : x
  2. Step 2: Convert to fraction form
    772.39/1,157.22 = 407.43/x
  3. Step 3: Cross multiply
    772.39x = 1,157.22 × 407.43
  4. Step 4: Simplify right side
    772.39x = 471,486.14
  5. Step 5: Solve for x
    x = 471,486.14/772.39
  6. Step 6: Final answer
    x = 610.42

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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.