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Finding the Fourth Proportional to 584.20, 805.34 and 418.12

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Solution

The fourth proportional to 584.20, 805.34 and 418.12 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 805.34 = 418.12 : x
  2. Step 2: Convert to fraction form
    584.20/805.34 = 418.12/x
  3. Step 3: Cross multiply
    584.20x = 805.34 × 418.12
  4. Step 4: Simplify right side
    584.20x = 336,724.66
  5. Step 5: Solve for x
    x = 336,724.66/584.20
  6. Step 6: Final answer
    x = 576.39

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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.