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Finding the Fourth Proportional to 684.50, 944.63 and 374.02

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Solution

The fourth proportional to 684.50, 944.63 and 374.02 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 944.63 = 374.02 : x
  2. Step 2: Convert to fraction form
    684.50/944.63 = 374.02/x
  3. Step 3: Cross multiply
    684.50x = 944.63 × 374.02
  4. Step 4: Simplify right side
    684.50x = 353,310.51
  5. Step 5: Solve for x
    x = 353,310.51/684.50
  6. Step 6: Final answer
    x = 516.16

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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.