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Finding the Fourth Proportional to 490.80, 731 and 473.76

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Solution

The fourth proportional to 490.80, 731 and 473.76 is: 705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 731 = 473.76 : x
  2. Step 2: Convert to fraction form
    490.80/731 = 473.76/x
  3. Step 3: Cross multiply
    490.80x = 731 × 473.76
  4. Step 4: Simplify right side
    490.80x = 346,318.56
  5. Step 5: Solve for x
    x = 346,318.56/490.80
  6. Step 6: Final answer
    x = 705.62

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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.