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Finding the Fourth Proportional to 684.96, 945.23 and 374.46

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Solution

The fourth proportional to 684.96, 945.23 and 374.46 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 945.23 = 374.46 : x
  2. Step 2: Convert to fraction form
    684.96/945.23 = 374.46/x
  3. Step 3: Cross multiply
    684.96x = 945.23 × 374.46
  4. Step 4: Simplify right side
    684.96x = 353,948.95
  5. Step 5: Solve for x
    x = 353,948.95/684.96
  6. Step 6: Final answer
    x = 516.74

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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.