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Finding the Fourth Proportional to 684.17, 945.41 and 518.09

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Solution

The fourth proportional to 684.17, 945.41 and 518.09 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 945.41 = 518.09 : x
  2. Step 2: Convert to fraction form
    684.17/945.41 = 518.09/x
  3. Step 3: Cross multiply
    684.17x = 945.41 × 518.09
  4. Step 4: Simplify right side
    684.17x = 489,807.47
  5. Step 5: Solve for x
    x = 489,807.47/684.17
  6. Step 6: Final answer
    x = 715.91

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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.