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Finding the Fourth Proportional to 461.50, 636.55 and 446.25

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Solution

The fourth proportional to 461.50, 636.55 and 446.25 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 636.55 = 446.25 : x
  2. Step 2: Convert to fraction form
    461.50/636.55 = 446.25/x
  3. Step 3: Cross multiply
    461.50x = 636.55 × 446.25
  4. Step 4: Simplify right side
    461.50x = 284,058.13
  5. Step 5: Solve for x
    x = 284,058.13/461.50
  6. Step 6: Final answer
    x = 615.51

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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.