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Finding the Fourth Proportional to 516.76, 713.16 and 320.32

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Solution

The fourth proportional to 516.76, 713.16 and 320.32 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.16 = 320.32 : x
  2. Step 2: Convert to fraction form
    516.76/713.16 = 320.32/x
  3. Step 3: Cross multiply
    516.76x = 713.16 × 320.32
  4. Step 4: Simplify right side
    516.76x = 228,439.41
  5. Step 5: Solve for x
    x = 228,439.41/516.76
  6. Step 6: Final answer
    x = 442.06

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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.