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Finding the Fourth Proportional to 550.98, 821.95 and 511.70

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Solution

The fourth proportional to 550.98, 821.95 and 511.70 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 821.95 = 511.70 : x
  2. Step 2: Convert to fraction form
    550.98/821.95 = 511.70/x
  3. Step 3: Cross multiply
    550.98x = 821.95 × 511.70
  4. Step 4: Simplify right side
    550.98x = 420,586.43
  5. Step 5: Solve for x
    x = 420,586.43/550.98
  6. Step 6: Final answer
    x = 763.34

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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.