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Finding the Fourth Proportional to 584.14, 806.21 and 348.08

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Solution

The fourth proportional to 584.14, 806.21 and 348.08 is: 480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 806.21 = 348.08 : x
  2. Step 2: Convert to fraction form
    584.14/806.21 = 348.08/x
  3. Step 3: Cross multiply
    584.14x = 806.21 × 348.08
  4. Step 4: Simplify right side
    584.14x = 280,625.58
  5. Step 5: Solve for x
    x = 280,625.58/584.14
  6. Step 6: Final answer
    x = 480.41

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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.