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Finding the Fourth Proportional to 596.32, 822.52 and 386.40

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Solution

The fourth proportional to 596.32, 822.52 and 386.40 is: 532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 822.52 = 386.40 : x
  2. Step 2: Convert to fraction form
    596.32/822.52 = 386.40/x
  3. Step 3: Cross multiply
    596.32x = 822.52 × 386.40
  4. Step 4: Simplify right side
    596.32x = 317,821.73
  5. Step 5: Solve for x
    x = 317,821.73/596.32
  6. Step 6: Final answer
    x = 532.97

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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.