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Finding the Fourth Proportional to 461.42, 637.23 and 455.36

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Solution

The fourth proportional to 461.42, 637.23 and 455.36 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 637.23 = 455.36 : x
  2. Step 2: Convert to fraction form
    461.42/637.23 = 455.36/x
  3. Step 3: Cross multiply
    461.42x = 637.23 × 455.36
  4. Step 4: Simplify right side
    461.42x = 290,169.05
  5. Step 5: Solve for x
    x = 290,169.05/461.42
  6. Step 6: Final answer
    x = 628.86

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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.