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Finding the Fourth Proportional to 584.42, 806.49 and 388.07

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Solution

The fourth proportional to 584.42, 806.49 and 388.07 is: 535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 806.49 = 388.07 : x
  2. Step 2: Convert to fraction form
    584.42/806.49 = 388.07/x
  3. Step 3: Cross multiply
    584.42x = 806.49 × 388.07
  4. Step 4: Simplify right side
    584.42x = 312,974.57
  5. Step 5: Solve for x
    x = 312,974.57/584.42
  6. Step 6: Final answer
    x = 535.53

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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.