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Finding the Fourth Proportional to 513.04, 708.78 and 381.82

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Solution

The fourth proportional to 513.04, 708.78 and 381.82 is: 527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 708.78 = 381.82 : x
  2. Step 2: Convert to fraction form
    513.04/708.78 = 381.82/x
  3. Step 3: Cross multiply
    513.04x = 708.78 × 381.82
  4. Step 4: Simplify right side
    513.04x = 270,626.38
  5. Step 5: Solve for x
    x = 270,626.38/513.04
  6. Step 6: Final answer
    x = 527.50

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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.