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Finding the Fourth Proportional to 550.29, 829.11 and 498.30

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Solution

The fourth proportional to 550.29, 829.11 and 498.30 is: 750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 829.11 = 498.30 : x
  2. Step 2: Convert to fraction form
    550.29/829.11 = 498.30/x
  3. Step 3: Cross multiply
    550.29x = 829.11 × 498.30
  4. Step 4: Simplify right side
    550.29x = 413,145.51
  5. Step 5: Solve for x
    x = 413,145.51/550.29
  6. Step 6: Final answer
    x = 750.78

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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.