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Finding the Fourth Proportional to 573.13, 855.26 and 490.81

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Solution

The fourth proportional to 573.13, 855.26 and 490.81 is: 732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.13 : 855.26 = 490.81 : x
  2. Step 2: Convert to fraction form
    573.13/855.26 = 490.81/x
  3. Step 3: Cross multiply
    573.13x = 855.26 × 490.81
  4. Step 4: Simplify right side
    573.13x = 419,769.01
  5. Step 5: Solve for x
    x = 419,769.01/573.13
  6. Step 6: Final answer
    x = 732.42

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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.