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Finding the Fourth Proportional to 684.81, 945.05 and 374.31

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Solution

The fourth proportional to 684.81, 945.05 and 374.31 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.81 : 945.05 = 374.31 : x
  2. Step 2: Convert to fraction form
    684.81/945.05 = 374.31/x
  3. Step 3: Cross multiply
    684.81x = 945.05 × 374.31
  4. Step 4: Simplify right side
    684.81x = 353,741.67
  5. Step 5: Solve for x
    x = 353,741.67/684.81
  6. Step 6: Final answer
    x = 516.55

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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.