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Finding the Fourth Proportional to 550.70, 824.82 and 355.07

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Solution

The fourth proportional to 550.70, 824.82 and 355.07 is: 531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.70 : 824.82 = 355.07 : x
  2. Step 2: Convert to fraction form
    550.70/824.82 = 355.07/x
  3. Step 3: Cross multiply
    550.70x = 824.82 × 355.07
  4. Step 4: Simplify right side
    550.70x = 292,864.71
  5. Step 5: Solve for x
    x = 292,864.71/550.70
  6. Step 6: Final answer
    x = 531.81

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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.