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Finding the Fourth Proportional to 516.77, 713.13 and 295.71

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Solution

The fourth proportional to 516.77, 713.13 and 295.71 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.77 : 713.13 = 295.71 : x
  2. Step 2: Convert to fraction form
    516.77/713.13 = 295.71/x
  3. Step 3: Cross multiply
    516.77x = 713.13 × 295.71
  4. Step 4: Simplify right side
    516.77x = 210,879.67
  5. Step 5: Solve for x
    x = 210,879.67/516.77
  6. Step 6: Final answer
    x = 408.08

Related Problems

Find fourth proportional to 258.38, 356.57 and 147.86
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Double scale
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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.