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Finding the Fourth Proportional to 516.77, 712.90 and 306.82

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Solution

The fourth proportional to 516.77, 712.90 and 306.82 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.77 : 712.90 = 306.82 : x
  2. Step 2: Convert to fraction form
    516.77/712.90 = 306.82/x
  3. Step 3: Cross multiply
    516.77x = 712.90 × 306.82
  4. Step 4: Simplify right side
    516.77x = 218,733.25
  5. Step 5: Solve for x
    x = 218,733.25/516.77
  6. Step 6: Final answer
    x = 423.27

Related Problems

Find fourth proportional to 258.38, 356.45 and 153.41
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Double scale
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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.