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Finding the Fourth Proportional to 576.33, 862.74 and 380.58

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Solution

The fourth proportional to 576.33, 862.74 and 380.58 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.33 : 862.74 = 380.58 : x
  2. Step 2: Convert to fraction form
    576.33/862.74 = 380.58/x
  3. Step 3: Cross multiply
    576.33x = 862.74 × 380.58
  4. Step 4: Simplify right side
    576.33x = 328,341.59
  5. Step 5: Solve for x
    x = 328,341.59/576.33
  6. Step 6: Final answer
    x = 569.71

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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.