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Finding the Fourth Proportional to 564.63, 843.94 and 490.91

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Solution

The fourth proportional to 564.63, 843.94 and 490.91 is: 733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.63 : 843.94 = 490.91 : x
  2. Step 2: Convert to fraction form
    564.63/843.94 = 490.91/x
  3. Step 3: Cross multiply
    564.63x = 843.94 × 490.91
  4. Step 4: Simplify right side
    564.63x = 414,297.36
  5. Step 5: Solve for x
    x = 414,297.36/564.63
  6. Step 6: Final answer
    x = 733.75

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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.