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Finding the Fourth Proportional to 576.84, 865.48 and 247.85

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Solution

The fourth proportional to 576.84, 865.48 and 247.85 is: 371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 865.48 = 247.85 : x
  2. Step 2: Convert to fraction form
    576.84/865.48 = 247.85/x
  3. Step 3: Cross multiply
    576.84x = 865.48 × 247.85
  4. Step 4: Simplify right side
    576.84x = 214,509.22
  5. Step 5: Solve for x
    x = 214,509.22/576.84
  6. Step 6: Final answer
    x = 371.87

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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.