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Finding the Fourth Proportional to 684.92, 945.19 and 374.42

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Solution

The fourth proportional to 684.92, 945.19 and 374.42 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 945.19 = 374.42 : x
  2. Step 2: Convert to fraction form
    684.92/945.19 = 374.42/x
  3. Step 3: Cross multiply
    684.92x = 945.19 × 374.42
  4. Step 4: Simplify right side
    684.92x = 353,898.04
  5. Step 5: Solve for x
    x = 353,898.04/684.92
  6. Step 6: Final answer
    x = 516.70

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Half scale
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Double scale
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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.