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Finding the Fourth Proportional to 612.49, 845.36 and 363.95

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Solution

The fourth proportional to 612.49, 845.36 and 363.95 is: 502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.49 : 845.36 = 363.95 : x
  2. Step 2: Convert to fraction form
    612.49/845.36 = 363.95/x
  3. Step 3: Cross multiply
    612.49x = 845.36 × 363.95
  4. Step 4: Simplify right side
    612.49x = 307,668.77
  5. Step 5: Solve for x
    x = 307,668.77/612.49
  6. Step 6: Final answer
    x = 502.32

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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.