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Finding the Fourth Proportional to 461.23, 636.69 and 416.77

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Solution

The fourth proportional to 461.23, 636.69 and 416.77 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.23 : 636.69 = 416.77 : x
  2. Step 2: Convert to fraction form
    461.23/636.69 = 416.77/x
  3. Step 3: Cross multiply
    461.23x = 636.69 × 416.77
  4. Step 4: Simplify right side
    461.23x = 265,353.29
  5. Step 5: Solve for x
    x = 265,353.29/461.23
  6. Step 6: Final answer
    x = 575.32

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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.