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Finding the Fourth Proportional to 550.19, 823.91 and 386.17

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Solution

The fourth proportional to 550.19, 823.91 and 386.17 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.19 : 823.91 = 386.17 : x
  2. Step 2: Convert to fraction form
    550.19/823.91 = 386.17/x
  3. Step 3: Cross multiply
    550.19x = 823.91 × 386.17
  4. Step 4: Simplify right side
    550.19x = 318,165.33
  5. Step 5: Solve for x
    x = 318,165.33/550.19
  6. Step 6: Final answer
    x = 578.28

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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.