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Finding the Fourth Proportional to 550.84, 822.32 and 514.93

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Solution

The fourth proportional to 550.84, 822.32 and 514.93 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.84 : 822.32 = 514.93 : x
  2. Step 2: Convert to fraction form
    550.84/822.32 = 514.93/x
  3. Step 3: Cross multiply
    550.84x = 822.32 × 514.93
  4. Step 4: Simplify right side
    550.84x = 423,437.24
  5. Step 5: Solve for x
    x = 423,437.24/550.84
  6. Step 6: Final answer
    x = 768.71

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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.