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Finding the Fourth Proportional to 584.35, 806.25 and 348.21

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Solution

The fourth proportional to 584.35, 806.25 and 348.21 is: 480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.35 : 806.25 = 348.21 : x
  2. Step 2: Convert to fraction form
    584.35/806.25 = 348.21/x
  3. Step 3: Cross multiply
    584.35x = 806.25 × 348.21
  4. Step 4: Simplify right side
    584.35x = 280,744.31
  5. Step 5: Solve for x
    x = 280,744.31/584.35
  6. Step 6: Final answer
    x = 480.44

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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.