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Finding the Fourth Proportional to 461.08, 635.22 and 377.70

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Solution

The fourth proportional to 461.08, 635.22 and 377.70 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 635.22 = 377.70 : x
  2. Step 2: Convert to fraction form
    461.08/635.22 = 377.70/x
  3. Step 3: Cross multiply
    461.08x = 635.22 × 377.70
  4. Step 4: Simplify right side
    461.08x = 239,922.59
  5. Step 5: Solve for x
    x = 239,922.59/461.08
  6. Step 6: Final answer
    x = 520.35

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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.