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Finding the Fourth Proportional to 516.76, 713.14 and 295.74

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Solution

The fourth proportional to 516.76, 713.14 and 295.74 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.14 = 295.74 : x
  2. Step 2: Convert to fraction form
    516.76/713.14 = 295.74/x
  3. Step 3: Cross multiply
    516.76x = 713.14 × 295.74
  4. Step 4: Simplify right side
    516.76x = 210,904.02
  5. Step 5: Solve for x
    x = 210,904.02/516.76
  6. Step 6: Final answer
    x = 408.13

Related Problems

Find fourth proportional to 258.38, 356.57 and 147.87
Half scale
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Double scale
Find fourth proportional to 517.76, 714.52 and 296.74
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.