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Finding the Fourth Proportional to 516.75, 713.14 and 306.88

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Solution

The fourth proportional to 516.75, 713.14 and 306.88 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 713.14 = 306.88 : x
  2. Step 2: Convert to fraction form
    516.75/713.14 = 306.88/x
  3. Step 3: Cross multiply
    516.75x = 713.14 × 306.88
  4. Step 4: Simplify right side
    516.75x = 218,848.40
  5. Step 5: Solve for x
    x = 218,848.40/516.75
  6. Step 6: Final answer
    x = 423.51

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Find fourth proportional to 258.38, 356.57 and 153.44
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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.