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Finding the Fourth Proportional to 550.72, 824.17 and 342.40

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Solution

The fourth proportional to 550.72, 824.17 and 342.40 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 824.17 = 342.40 : x
  2. Step 2: Convert to fraction form
    550.72/824.17 = 342.40/x
  3. Step 3: Cross multiply
    550.72x = 824.17 × 342.40
  4. Step 4: Simplify right side
    550.72x = 282,195.81
  5. Step 5: Solve for x
    x = 282,195.81/550.72
  6. Step 6: Final answer
    x = 512.41

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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.