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Finding the Fourth Proportional to 678.24, 936.36 and 446.04

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Solution

The fourth proportional to 678.24, 936.36 and 446.04 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.24 : 936.36 = 446.04 : x
  2. Step 2: Convert to fraction form
    678.24/936.36 = 446.04/x
  3. Step 3: Cross multiply
    678.24x = 936.36 × 446.04
  4. Step 4: Simplify right side
    678.24x = 417,654.01
  5. Step 5: Solve for x
    x = 417,654.01/678.24
  6. Step 6: Final answer
    x = 615.79

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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.