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Finding the Fourth Proportional to 684.74, 944.91 and 385.98

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Solution

The fourth proportional to 684.74, 944.91 and 385.98 is: 532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 944.91 = 385.98 : x
  2. Step 2: Convert to fraction form
    684.74/944.91 = 385.98/x
  3. Step 3: Cross multiply
    684.74x = 944.91 × 385.98
  4. Step 4: Simplify right side
    684.74x = 364,716.36
  5. Step 5: Solve for x
    x = 364,716.36/684.74
  6. Step 6: Final answer
    x = 532.64

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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.