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Finding the Fourth Proportional to 773.16, 1,159.21 and 285.95

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Solution

The fourth proportional to 773.16, 1,159.21 and 285.95 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.16 : 1,159.21 = 285.95 : x
  2. Step 2: Convert to fraction form
    773.16/1,159.21 = 285.95/x
  3. Step 3: Cross multiply
    773.16x = 1,159.21 × 285.95
  4. Step 4: Simplify right side
    773.16x = 331,476.10
  5. Step 5: Solve for x
    x = 331,476.10/773.16
  6. Step 6: Final answer
    x = 428.73

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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.