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Finding the Fourth Proportional to 550.90, 826.49 and 397.14

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Solution

The fourth proportional to 550.90, 826.49 and 397.14 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 826.49 = 397.14 : x
  2. Step 2: Convert to fraction form
    550.90/826.49 = 397.14/x
  3. Step 3: Cross multiply
    550.90x = 826.49 × 397.14
  4. Step 4: Simplify right side
    550.90x = 328,232.24
  5. Step 5: Solve for x
    x = 328,232.24/550.90
  6. Step 6: Final answer
    x = 595.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.