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Finding the Fourth Proportional to 473.58, 654.21 and 461.43

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Solution

The fourth proportional to 473.58, 654.21 and 461.43 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 654.21 = 461.43 : x
  2. Step 2: Convert to fraction form
    473.58/654.21 = 461.43/x
  3. Step 3: Cross multiply
    473.58x = 654.21 × 461.43
  4. Step 4: Simplify right side
    473.58x = 301,872.12
  5. Step 5: Solve for x
    x = 301,872.12/473.58
  6. Step 6: Final answer
    x = 637.43

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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.