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Finding the Fourth Proportional to 550.12, 824.42 and 289.61

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Solution

The fourth proportional to 550.12, 824.42 and 289.61 is: 434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.12 : 824.42 = 289.61 : x
  2. Step 2: Convert to fraction form
    550.12/824.42 = 289.61/x
  3. Step 3: Cross multiply
    550.12x = 824.42 × 289.61
  4. Step 4: Simplify right side
    550.12x = 238,754.71
  5. Step 5: Solve for x
    x = 238,754.71/550.12
  6. Step 6: Final answer
    x = 434.01

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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.