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Finding the Fourth Proportional to 550.78, 820.18 and 544.72

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Solution

The fourth proportional to 550.78, 820.18 and 544.72 is: 811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 820.18 = 544.72 : x
  2. Step 2: Convert to fraction form
    550.78/820.18 = 544.72/x
  3. Step 3: Cross multiply
    550.78x = 820.18 × 544.72
  4. Step 4: Simplify right side
    550.78x = 446,768.45
  5. Step 5: Solve for x
    x = 446,768.45/550.78
  6. Step 6: Final answer
    x = 811.16

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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.