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Finding the Fourth Proportional to 612.92, 845.95 and 364.19

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Solution

The fourth proportional to 612.92, 845.95 and 364.19 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 845.95 = 364.19 : x
  2. Step 2: Convert to fraction form
    612.92/845.95 = 364.19/x
  3. Step 3: Cross multiply
    612.92x = 845.95 × 364.19
  4. Step 4: Simplify right side
    612.92x = 308,087.32
  5. Step 5: Solve for x
    x = 308,087.32/612.92
  6. Step 6: Final answer
    x = 502.66

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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.