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Finding the Fourth Proportional to 490.44, 732.78 and 473.43

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Solution

The fourth proportional to 490.44, 732.78 and 473.43 is: 707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 732.78 = 473.43 : x
  2. Step 2: Convert to fraction form
    490.44/732.78 = 473.43/x
  3. Step 3: Cross multiply
    490.44x = 732.78 × 473.43
  4. Step 4: Simplify right side
    490.44x = 346,920.04
  5. Step 5: Solve for x
    x = 346,920.04/490.44
  6. Step 6: Final answer
    x = 707.36

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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.