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Finding the Fourth Proportional to 612.97, 845.99 and 380.17

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Solution

The fourth proportional to 612.97, 845.99 and 380.17 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 845.99 = 380.17 : x
  2. Step 2: Convert to fraction form
    612.97/845.99 = 380.17/x
  3. Step 3: Cross multiply
    612.97x = 845.99 × 380.17
  4. Step 4: Simplify right side
    612.97x = 321,620.02
  5. Step 5: Solve for x
    x = 321,620.02/612.97
  6. Step 6: Final answer
    x = 524.69

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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.