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Finding the Fourth Proportional to 516.75, 713.13 and 342.42

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Solution

The fourth proportional to 516.75, 713.13 and 342.42 is: 472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 713.13 = 342.42 : x
  2. Step 2: Convert to fraction form
    516.75/713.13 = 342.42/x
  3. Step 3: Cross multiply
    516.75x = 713.13 × 342.42
  4. Step 4: Simplify right side
    516.75x = 244,189.97
  5. Step 5: Solve for x
    x = 244,189.97/516.75
  6. Step 6: Final answer
    x = 472.55

Related Problems

Find fourth proportional to 258.38, 356.57 and 171.21
Half scale
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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.