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Finding the Fourth Proportional to 516.76, 713.12 and 295.72

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Solution

The fourth proportional to 516.76, 713.12 and 295.72 is: 408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.12 = 295.72 : x
  2. Step 2: Convert to fraction form
    516.76/713.12 = 295.72/x
  3. Step 3: Cross multiply
    516.76x = 713.12 × 295.72
  4. Step 4: Simplify right side
    516.76x = 210,883.85
  5. Step 5: Solve for x
    x = 210,883.85/516.76
  6. Step 6: Final answer
    x = 408.09

Related Problems

Find fourth proportional to 258.38, 356.56 and 147.86
Half scale
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Double scale
Find fourth proportional to 517.76, 714.50 and 296.72
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.