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Finding the Fourth Proportional to 773.01, 1,158.75 and 285.93

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Solution

The fourth proportional to 773.01, 1,158.75 and 285.93 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,158.75 = 285.93 : x
  2. Step 2: Convert to fraction form
    773.01/1,158.75 = 285.93/x
  3. Step 3: Cross multiply
    773.01x = 1,158.75 × 285.93
  4. Step 4: Simplify right side
    773.01x = 331,321.39
  5. Step 5: Solve for x
    x = 331,321.39/773.01
  6. Step 6: Final answer
    x = 428.61

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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.