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Finding the Fourth Proportional to 684.82, 945.05 and 374.32

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Solution

The fourth proportional to 684.82, 945.05 and 374.32 is: 516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 945.05 = 374.32 : x
  2. Step 2: Convert to fraction form
    684.82/945.05 = 374.32/x
  3. Step 3: Cross multiply
    684.82x = 945.05 × 374.32
  4. Step 4: Simplify right side
    684.82x = 353,751.12
  5. Step 5: Solve for x
    x = 353,751.12/684.82
  6. Step 6: Final answer
    x = 516.56

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1.5x scale

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.