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Finding the Fourth Proportional to 516.90, 713.76 and 330.72

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Solution

The fourth proportional to 516.90, 713.76 and 330.72 is: 456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 713.76 = 330.72 : x
  2. Step 2: Convert to fraction form
    516.90/713.76 = 330.72/x
  3. Step 3: Cross multiply
    516.90x = 713.76 × 330.72
  4. Step 4: Simplify right side
    516.90x = 236,054.71
  5. Step 5: Solve for x
    x = 236,054.71/516.90
  6. Step 6: Final answer
    x = 456.67

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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.