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Finding the Fourth Proportional to 772.06, 1,156.46 and 445.90

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Solution

The fourth proportional to 772.06, 1,156.46 and 445.90 is: 667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.06 : 1,156.46 = 445.90 : x
  2. Step 2: Convert to fraction form
    772.06/1,156.46 = 445.90/x
  3. Step 3: Cross multiply
    772.06x = 1,156.46 × 445.90
  4. Step 4: Simplify right side
    772.06x = 515,665.51
  5. Step 5: Solve for x
    x = 515,665.51/772.06
  6. Step 6: Final answer
    x = 667.91

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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.