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Finding the Fourth Proportional to 596.26, 822.56 and 386.42

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Solution

The fourth proportional to 596.26, 822.56 and 386.42 is: 533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 822.56 = 386.42 : x
  2. Step 2: Convert to fraction form
    596.26/822.56 = 386.42/x
  3. Step 3: Cross multiply
    596.26x = 822.56 × 386.42
  4. Step 4: Simplify right side
    596.26x = 317,852.22
  5. Step 5: Solve for x
    x = 317,852.22/596.26
  6. Step 6: Final answer
    x = 533.08

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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.