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Finding the Fourth Proportional to 473.84, 654.36 and 397.04

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Solution

The fourth proportional to 473.84, 654.36 and 397.04 is: 548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 654.36 = 397.04 : x
  2. Step 2: Convert to fraction form
    473.84/654.36 = 397.04/x
  3. Step 3: Cross multiply
    473.84x = 654.36 × 397.04
  4. Step 4: Simplify right side
    473.84x = 259,807.09
  5. Step 5: Solve for x
    x = 259,807.09/473.84
  6. Step 6: Final answer
    x = 548.30

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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.