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Finding the Fourth Proportional to 461.82, 633.18 and 453.62

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Solution

The fourth proportional to 461.82, 633.18 and 453.62 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 633.18 = 453.62 : x
  2. Step 2: Convert to fraction form
    461.82/633.18 = 453.62/x
  3. Step 3: Cross multiply
    461.82x = 633.18 × 453.62
  4. Step 4: Simplify right side
    461.82x = 287,220.84
  5. Step 5: Solve for x
    x = 287,220.84/461.82
  6. Step 6: Final answer
    x = 621.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.