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Finding the Fourth Proportional to 516.29, 713.60 and 456.86

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Solution

The fourth proportional to 516.29, 713.60 and 456.86 is: 631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 713.60 = 456.86 : x
  2. Step 2: Convert to fraction form
    516.29/713.60 = 456.86/x
  3. Step 3: Cross multiply
    516.29x = 713.60 × 456.86
  4. Step 4: Simplify right side
    516.29x = 326,013.01
  5. Step 5: Solve for x
    x = 326,013.01/516.29
  6. Step 6: Final answer
    x = 631.45

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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.