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Finding the Fourth Proportional to 576.43, 864.26 and 345.35

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Solution

The fourth proportional to 576.43, 864.26 and 345.35 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.43 : 864.26 = 345.35 : x
  2. Step 2: Convert to fraction form
    576.43/864.26 = 345.35/x
  3. Step 3: Cross multiply
    576.43x = 864.26 × 345.35
  4. Step 4: Simplify right side
    576.43x = 298,472.19
  5. Step 5: Solve for x
    x = 298,472.19/576.43
  6. Step 6: Final answer
    x = 517.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.