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Finding the Fourth Proportional to 579.77, 869.16 and 254.89

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Solution

The fourth proportional to 579.77, 869.16 and 254.89 is: 382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 869.16 = 254.89 : x
  2. Step 2: Convert to fraction form
    579.77/869.16 = 254.89/x
  3. Step 3: Cross multiply
    579.77x = 869.16 × 254.89
  4. Step 4: Simplify right side
    579.77x = 221,535.85
  5. Step 5: Solve for x
    x = 221,535.85/579.77
  6. Step 6: Final answer
    x = 382.11

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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.