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Finding the Fourth Proportional to 576.12, 864.39 and 345.17

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Solution

The fourth proportional to 576.12, 864.39 and 345.17 is: 517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 864.39 = 345.17 : x
  2. Step 2: Convert to fraction form
    576.12/864.39 = 345.17/x
  3. Step 3: Cross multiply
    576.12x = 864.39 × 345.17
  4. Step 4: Simplify right side
    576.12x = 298,364.95
  5. Step 5: Solve for x
    x = 298,364.95/576.12
  6. Step 6: Final answer
    x = 517.89

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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.