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Finding the Fourth Proportional to 595, 821.46 and 388.36

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Solution

The fourth proportional to 595, 821.46 and 388.36 is: 536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 821.46 = 388.36 : x
  2. Step 2: Convert to fraction form
    595/821.46 = 388.36/x
  3. Step 3: Cross multiply
    595x = 821.46 × 388.36
  4. Step 4: Simplify right side
    595x = 319,022.21
  5. Step 5: Solve for x
    x = 319,022.21/595
  6. Step 6: Final answer
    x = 536.17

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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.