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Finding the Fourth Proportional to 596.15, 821.93 and 385.95

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Solution

The fourth proportional to 596.15, 821.93 and 385.95 is: 532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.15 : 821.93 = 385.95 : x
  2. Step 2: Convert to fraction form
    596.15/821.93 = 385.95/x
  3. Step 3: Cross multiply
    596.15x = 821.93 × 385.95
  4. Step 4: Simplify right side
    596.15x = 317,223.88
  5. Step 5: Solve for x
    x = 317,223.88/596.15
  6. Step 6: Final answer
    x = 532.12

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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.