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Finding the Fourth Proportional to 772.73, 1,156.51 and 420.85

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Solution

The fourth proportional to 772.73, 1,156.51 and 420.85 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.73 : 1,156.51 = 420.85 : x
  2. Step 2: Convert to fraction form
    772.73/1,156.51 = 420.85/x
  3. Step 3: Cross multiply
    772.73x = 1,156.51 × 420.85
  4. Step 4: Simplify right side
    772.73x = 486,717.23
  5. Step 5: Solve for x
    x = 486,717.23/772.73
  6. Step 6: Final answer
    x = 629.87

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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.