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Finding the Fourth Proportional to 588.18, 811.32 and 419.82

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Solution

The fourth proportional to 588.18, 811.32 and 419.82 is: 579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.18 : 811.32 = 419.82 : x
  2. Step 2: Convert to fraction form
    588.18/811.32 = 419.82/x
  3. Step 3: Cross multiply
    588.18x = 811.32 × 419.82
  4. Step 4: Simplify right side
    588.18x = 340,608.36
  5. Step 5: Solve for x
    x = 340,608.36/588.18
  6. Step 6: Final answer
    x = 579.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.