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Finding the Fourth Proportional to 576.18, 795.38 and 379.35

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Solution

The fourth proportional to 576.18, 795.38 and 379.35 is: 523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 795.38 = 379.35 : x
  2. Step 2: Convert to fraction form
    576.18/795.38 = 379.35/x
  3. Step 3: Cross multiply
    576.18x = 795.38 × 379.35
  4. Step 4: Simplify right side
    576.18x = 301,725.51
  5. Step 5: Solve for x
    x = 301,725.51/576.18
  6. Step 6: Final answer
    x = 523.67

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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.