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Finding the Fourth Proportional to 516.76, 713.14 and 283.90

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Solution

The fourth proportional to 516.76, 713.14 and 283.90 is: 391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.14 = 283.90 : x
  2. Step 2: Convert to fraction form
    516.76/713.14 = 283.90/x
  3. Step 3: Cross multiply
    516.76x = 713.14 × 283.90
  4. Step 4: Simplify right side
    516.76x = 202,460.45
  5. Step 5: Solve for x
    x = 202,460.45/516.76
  6. Step 6: Final answer
    x = 391.79

Related Problems

Find fourth proportional to 258.38, 356.57 and 141.95
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Double scale
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Similar ratio
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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.