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Finding the Fourth Proportional to 621.43, 856.54 and 516.31

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Solution

The fourth proportional to 621.43, 856.54 and 516.31 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.43 : 856.54 = 516.31 : x
  2. Step 2: Convert to fraction form
    621.43/856.54 = 516.31/x
  3. Step 3: Cross multiply
    621.43x = 856.54 × 516.31
  4. Step 4: Simplify right side
    621.43x = 442,240.17
  5. Step 5: Solve for x
    x = 442,240.17/621.43
  6. Step 6: Final answer
    x = 711.65

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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.