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Finding the Fourth Proportional to 550.39, 820.19 and 535.35

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Solution

The fourth proportional to 550.39, 820.19 and 535.35 is: 797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 820.19 = 535.35 : x
  2. Step 2: Convert to fraction form
    550.39/820.19 = 535.35/x
  3. Step 3: Cross multiply
    550.39x = 820.19 × 535.35
  4. Step 4: Simplify right side
    550.39x = 439,088.72
  5. Step 5: Solve for x
    x = 439,088.72/550.39
  6. Step 6: Final answer
    x = 797.78

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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.