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Finding the Fourth Proportional to 612.32, 845.06 and 363.69

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Solution

The fourth proportional to 612.32, 845.06 and 363.69 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 845.06 = 363.69 : x
  2. Step 2: Convert to fraction form
    612.32/845.06 = 363.69/x
  3. Step 3: Cross multiply
    612.32x = 845.06 × 363.69
  4. Step 4: Simplify right side
    612.32x = 307,338.05
  5. Step 5: Solve for x
    x = 307,338.05/612.32
  6. Step 6: Final answer
    x = 501.93

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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.