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Finding the Fourth Proportional to 513.38, 709.05 and 374.12

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Solution

The fourth proportional to 513.38, 709.05 and 374.12 is: 516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 709.05 = 374.12 : x
  2. Step 2: Convert to fraction form
    513.38/709.05 = 374.12/x
  3. Step 3: Cross multiply
    513.38x = 709.05 × 374.12
  4. Step 4: Simplify right side
    513.38x = 265,269.79
  5. Step 5: Solve for x
    x = 265,269.79/513.38
  6. Step 6: Final answer
    x = 516.71

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Double scale
Find fourth proportional to 514.38, 710.43 and 375.12
Similar ratio
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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.