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Finding the Fourth Proportional to 684.66, 943.68 and 518.82

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Solution

The fourth proportional to 684.66, 943.68 and 518.82 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 943.68 = 518.82 : x
  2. Step 2: Convert to fraction form
    684.66/943.68 = 518.82/x
  3. Step 3: Cross multiply
    684.66x = 943.68 × 518.82
  4. Step 4: Simplify right side
    684.66x = 489,600.06
  5. Step 5: Solve for x
    x = 489,600.06/684.66
  6. Step 6: Final answer
    x = 715.10

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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.