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Finding the Fourth Proportional to 579.84, 869.24 and 396.68

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Solution

The fourth proportional to 579.84, 869.24 and 396.68 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 869.24 = 396.68 : x
  2. Step 2: Convert to fraction form
    579.84/869.24 = 396.68/x
  3. Step 3: Cross multiply
    579.84x = 869.24 × 396.68
  4. Step 4: Simplify right side
    579.84x = 344,810.12
  5. Step 5: Solve for x
    x = 344,810.12/579.84
  6. Step 6: Final answer
    x = 594.66

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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.