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Finding the Fourth Proportional to 773.09, 1,158.93 and 285.80

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Solution

The fourth proportional to 773.09, 1,158.93 and 285.80 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.09 : 1,158.93 = 285.80 : x
  2. Step 2: Convert to fraction form
    773.09/1,158.93 = 285.80/x
  3. Step 3: Cross multiply
    773.09x = 1,158.93 × 285.80
  4. Step 4: Simplify right side
    773.09x = 331,216.40
  5. Step 5: Solve for x
    x = 331,216.40/773.09
  6. Step 6: Final answer
    x = 428.43

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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.