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Finding the Fourth Proportional to 550.94, 826.53 and 277.04

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Solution

The fourth proportional to 550.94, 826.53 and 277.04 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.94 : 826.53 = 277.04 : x
  2. Step 2: Convert to fraction form
    550.94/826.53 = 277.04/x
  3. Step 3: Cross multiply
    550.94x = 826.53 × 277.04
  4. Step 4: Simplify right side
    550.94x = 228,981.87
  5. Step 5: Solve for x
    x = 228,981.87/550.94
  6. Step 6: Final answer
    x = 415.62

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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.