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Finding the Fourth Proportional to 461.72, 641.01 and 448.36

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Solution

The fourth proportional to 461.72, 641.01 and 448.36 is: 622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 641.01 = 448.36 : x
  2. Step 2: Convert to fraction form
    461.72/641.01 = 448.36/x
  3. Step 3: Cross multiply
    461.72x = 641.01 × 448.36
  4. Step 4: Simplify right side
    461.72x = 287,403.24
  5. Step 5: Solve for x
    x = 287,403.24/461.72
  6. Step 6: Final answer
    x = 622.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.