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Finding the Fourth Proportional to 550.76, 829.84 and 491.80

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Solution

The fourth proportional to 550.76, 829.84 and 491.80 is: 741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 829.84 = 491.80 : x
  2. Step 2: Convert to fraction form
    550.76/829.84 = 491.80/x
  3. Step 3: Cross multiply
    550.76x = 829.84 × 491.80
  4. Step 4: Simplify right side
    550.76x = 408,115.31
  5. Step 5: Solve for x
    x = 408,115.31/550.76
  6. Step 6: Final answer
    x = 741.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.