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Finding the Fourth Proportional to 550.86, 821.75 and 511.57

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Solution

The fourth proportional to 550.86, 821.75 and 511.57 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 821.75 = 511.57 : x
  2. Step 2: Convert to fraction form
    550.86/821.75 = 511.57/x
  3. Step 3: Cross multiply
    550.86x = 821.75 × 511.57
  4. Step 4: Simplify right side
    550.86x = 420,382.65
  5. Step 5: Solve for x
    x = 420,382.65/550.86
  6. Step 6: Final answer
    x = 763.14

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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.