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Finding the Fourth Proportional to 550.33, 824.32 and 433.99

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Solution

The fourth proportional to 550.33, 824.32 and 433.99 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.33 : 824.32 = 433.99 : x
  2. Step 2: Convert to fraction form
    550.33/824.32 = 433.99/x
  3. Step 3: Cross multiply
    550.33x = 824.32 × 433.99
  4. Step 4: Simplify right side
    550.33x = 357,746.64
  5. Step 5: Solve for x
    x = 357,746.64/550.33
  6. Step 6: Final answer
    x = 650.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.