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Finding the Fourth Proportional to 461.91, 694.35 and 371.61

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Solution

The fourth proportional to 461.91, 694.35 and 371.61 is: 558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 694.35 = 371.61 : x
  2. Step 2: Convert to fraction form
    461.91/694.35 = 371.61/x
  3. Step 3: Cross multiply
    461.91x = 694.35 × 371.61
  4. Step 4: Simplify right side
    461.91x = 258,027.40
  5. Step 5: Solve for x
    x = 258,027.40/461.91
  6. Step 6: Final answer
    x = 558.61

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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.