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Finding the Fourth Proportional to 576.23, 864.45 and 316.09

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Solution

The fourth proportional to 576.23, 864.45 and 316.09 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.23 : 864.45 = 316.09 : x
  2. Step 2: Convert to fraction form
    576.23/864.45 = 316.09/x
  3. Step 3: Cross multiply
    576.23x = 864.45 × 316.09
  4. Step 4: Simplify right side
    576.23x = 273,238.10
  5. Step 5: Solve for x
    x = 273,238.10/576.23
  6. Step 6: Final answer
    x = 474.19

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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.