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Finding the Fourth Proportional to 468.80, 697.72 and 447.20

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Solution

The fourth proportional to 468.80, 697.72 and 447.20 is: 665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 697.72 = 447.20 : x
  2. Step 2: Convert to fraction form
    468.80/697.72 = 447.20/x
  3. Step 3: Cross multiply
    468.80x = 697.72 × 447.20
  4. Step 4: Simplify right side
    468.80x = 312,020.38
  5. Step 5: Solve for x
    x = 312,020.38/468.80
  6. Step 6: Final answer
    x = 665.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.