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Finding the Fourth Proportional to 772.45, 1,156.82 and 442.39

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Solution

The fourth proportional to 772.45, 1,156.82 and 442.39 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,156.82 = 442.39 : x
  2. Step 2: Convert to fraction form
    772.45/1,156.82 = 442.39/x
  3. Step 3: Cross multiply
    772.45x = 1,156.82 × 442.39
  4. Step 4: Simplify right side
    772.45x = 511,757.60
  5. Step 5: Solve for x
    x = 511,757.60/772.45
  6. Step 6: Final answer
    x = 662.51

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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.