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Finding the Fourth Proportional to 584.54, 806.67 and 388.41

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Solution

The fourth proportional to 584.54, 806.67 and 388.41 is: 536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 806.67 = 388.41 : x
  2. Step 2: Convert to fraction form
    584.54/806.67 = 388.41/x
  3. Step 3: Cross multiply
    584.54x = 806.67 × 388.41
  4. Step 4: Simplify right side
    584.54x = 313,318.69
  5. Step 5: Solve for x
    x = 313,318.69/584.54
  6. Step 6: Final answer
    x = 536.01

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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.