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Finding the Fourth Proportional to 772.22, 1,157.10 and 425.54

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Solution

The fourth proportional to 772.22, 1,157.10 and 425.54 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,157.10 = 425.54 : x
  2. Step 2: Convert to fraction form
    772.22/1,157.10 = 425.54/x
  3. Step 3: Cross multiply
    772.22x = 1,157.10 × 425.54
  4. Step 4: Simplify right side
    772.22x = 492,392.33
  5. Step 5: Solve for x
    x = 492,392.33/772.22
  6. Step 6: Final answer
    x = 637.63

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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.